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A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
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| M. Ali Hana' and Abid Ali Al-Ta'ai | |
| [2009] | The Orlik-Solomon algebra of a hypersolvable arrangement and hypersolvable partition complex, preprint, 2009. |
| [2011] | A topological interpretation for vanishing of higher homotopy groups of a hypersolvable arrangements, J. Basrah Researches-Science 37 (2011), no. 4, 414-433. |
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| David Allen | |
| [2008] | On the homotopy groups of toric spaces, Homology, Homotopy Appl. 10 (2008), no. 1, 437-479. MR 2009j:55016 |
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| Ayse Altintas and Celal Cem Sarioglu | |
| [2010] | Problem session, in: Arrangements, local systems and singularities, 283-319, Progress in Math., vol. 283, Birkhäuser, Basel, 2010. |
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| Juan Carlos Álvarez Paiva | |
| [2004] | Dual mixed volumes and isosystolic inequalities, math.SG/0408415. |
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| Víctor Álvarez Solano, José Andrés Armario Sampalo, María Dolores Frau García, and Pedro Real Jurado | |
| [2009] | (Co)homology of iterated semidirect products of finitely generated abelian groups, preprint, 2009. |
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| Meirav Amram and Mina Teicher | |
| [2006] | Fundamental groups of some special quadric arrangements, Rev. Mat. Complut. 19 (2006), no. 2, 259-276. MR 2007h:14016 |
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| Meirav Amram, Mina Teicher, and Muhammed Uludag | |
| [2003] | Fundamental groups of some quadric-line arrangements, Topology Appl. 130 (2003), no. 2, 159-173. MR 2004e:14028. |
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| Donu Arapura | |
| [2011] | Homomorphisms between Kaehler groups, in: Topology of algebraic varieties and singularities, 95-111, Contemporary Math., vol. 538, Amer. Math. Soc., Providence, RI, 2011. arXiv:0908.0929. MR 2777817. |
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| Enrique Artal Bartolo | |
| [2004] | Braid monodromy and topology of complexified real arrangements, in: Proceedings Mathematical Society of Japan, 12th International Research Institute, Singularity Theory and Its Applications (Sapporo, Japan), 2004. |
| [2005] | Braid monodromy and topology of plane curves, in: Groupes de tresses, invariants quantiques et géométrie des variétes de dimension 3 (Luminy, France), 2005. |
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| Enrique Artal Bartolo, Jorge Carmona Ruber, and José Ignacio Cogolludo-Agustín | |
| [2004] | Essential coordinate components of characteristic varieties, Math. Proc. Cambridge Philos. Soc. 136 (2004), no. 2, 287-299. MR 2005a:14036. |
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| Enrique Artal, Jorge Carmona, José Ignacio Cogolludo, Mario Escario, Javier Fernández de Bobadilla, Ignacio Luengo, and Alejandro Melle | |
| [2004] | Topological and arithmetical properties of rational plane curves, in: Contribuciones Matemáticas, Homenaje al profesor Enrique Outerelo Domínguez, 223-242, Homen. Univ. Complut., Editorial Complutense, Madrid, 2004. MR 2007g:14035 |
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| Enrique Artal Bartolo, Jorge Carmona Ruber, José Ignacio Cogolludo-Agustín, and Miguel Ángel Marco Buzunáriz | |
| [2005] | Topology and combinatorics of real line arrangements, Compositio Math. 141 (2005), no. 6, 1578-1588. MR 2006k:32055 |
| [2007] | Invariants of combinatorial line arrangements and Rybnikov's example, in: Singularity Theory and its Applications, 1-34, Advanced Studies in Pure Math., vol. 43, Math. Soc. Japan, Tokyo, 2006. math.AG/0403543. MR 2008g:32042 |
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| Enrique Artal Bartolo, José Ignacio Cogolludo, and Anatoly Libgober | |
| [2011] | Depth of characters of curve complements and orbifold pencils, arXiv:1108.0164. |
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| Enrique Artal Bartolo, José Ignacio Cogolludo, and Daniel Matei | |
| [2007] | Arrangements of hypersurfaces and Bestvina-Brady groups, in: Mini-Workshop: Topology of closed one-forms and cohomology jumping loci, Oberwolfach Rep. 4 (2007), no. 3, pp. 2321-2360. MR 2432117 |
| [2011] | Quasi-projectivity, Artin-Tits groups, and pencil maps, in: Topology of algebraic varieties and singularities, 113-136, Contemporary Math., vol. 538, Amer. Math. Soc., Providence, RI, 2011. arXiv:1005.5225. MR 2012c:14043. |
| [2010] | Characteristic varieties of quasi-projective manifolds and orbifolds, arXiv:1005.4761. |
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| Enrique Artal Bartolo, José Ignacio Cogolludo, and Hiro-o Tokunaga | |
| [2008] | A survey of Zariski pairs, in: Algebraic geometry in East Asia--Hanoi 2005, 1-100, Advanced Studies in Pure Math., vol. 50, Math. Soc. Japan, Tokyo, 2008. MR 2009g:14030 |
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| Matthias Aschenbrenner and Stefan Friedl | |
| [2010] | 3-Manifold groups are virtually residually p, arXiv:1004.3619. |
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| Matthias Aschenbrenner, Stefan Friedl and Henry Wilton | |
| [2011] | 3-Manifold groups, preprint, 2011. |
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| Luis Astey, Anthony Bahri, Martin Bendersky, Frederick R. Cohen, Donald M. Davis, Sam Gitler, Mark Mahowald, Nigel Ray, and Reg Wood | |
| [2010] | The KO*-rings of BTm, the Davis-Januszkiewicz spaces and certain toric manifolds, arXiv:1007.0069. |
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B |
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| Ivan K. Babenko | |
| [2000] | Strong intersystolic softness of closed manifolds, Russian Mathematical Surveys 55 (2000), no. 5, 987-988. MR 2001k:53071 |
| [2002] | Forte souplesse intersystolique de variétés fermées et de polyèdres, Annales de l'Institut Fourier 52 (2002), no. 4, 1259--1284. MR 2003j:53075 |
| [2004] | Géométrie systolique des variétés de groupe fondamental Z2 , Sémin. Théor. Spectr. Géom. 22 (2004), no. 4, 25-52. MR 2005m:53060 |
| [2006] | Topologie des systoles unidimensionnelles, L'Enseignement Mathématique 52 (2006), no. 1-2, 109-142. MR 2007e:53041 |
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| Ivan K. Babenko and Mikhail G. Katz | |
| [1998] | Systolic freedom of orientable manifolds, Ann. Sci. École Norm. Sup. 31 (1998), no. 6, 787-809. MR 99m:53083 |
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| Roland Bacher and David Garber | |
| [2007] | Spindle configurations of skew lines, Geometry & Topology 11 (2007), 1049-1081. MR 2008h:57007 |
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| Anthony Bahri, Martin Bendersky, Frederick R. Cohen, and Sam Gitler | |
| [2009] | Decompositions of the polyhedral product functor with applications to moment-angle complexes and related spaces, Proc. Natl. Acad. Sci. USA 106 (2009), no. 30, 12241-12244. MR 2010j:57036 |
| [2010a] | The polyhedral product functor: a method of computation for moment-angle complexes, arrangements and related spaces , Advances in Math. 225 (2010), no. 3, 1634-1668. arXiv:0711.4689. MR 2012b:13053 |
| [2010b] | A new topological construction of infinite families of toric manifolds implying fan reduction, arXiv:1011.0094. |
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| Victor Bangert and Mikhail G. Katz | |
| [2003] | Stable systolic inequalities and cohomology products, Comm. Pure Appl. Math. 56 (2003), no. 7, 979-997. MR 2004g:5304 |
| [2004] | An optimal Loewner-type systolic inequality and harmonic one-forms of constant norm, Comm. Anal. Geom. 12 (2004), 703-732. math.DG/0304494. MR 2005k:53035. |
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| Laurent Bartholdi, Bettina Eick, and René Hartung | |
| [2008] | A nilpotent quotient algorithm for certain infinitely presented groups and its applications, Intern. J. Algebra Comp. 18 (2008), no. 8, 1321-1344. MR 2010h:20002. |
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| Laurent Bartholdi, Benjamin Enriquez, Pavel Etingof, and Eric Rains | |
| [2006] | Groups and Lie algebras corresponding to the Yang-Baxter equations, Journal of Algebra 305 (2006), no. 2, 742-764. MR 2007g:17010. |
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| Yuliy Baryshnikov and Boris Shapiro | |
| [2011] | How to run a roach, draft, 2011 |
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| Ekkehard Batzies | |
| [2007] | 4 Planes in R4, Proc. Amer. Math. Soc. 135 (2007), no. 10, 3341-3347. MR 2008i:32040. |
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| Gilbert Baumslag | |
| [2005] | Parafree groups, in: Infinite groups: geometric, combinatorial and dynamical aspects, 1-14, Progress in Math., vol. 248, Birkhäuser, Basel, 2005. MR 2006j:20039 |
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| Marcel Berger | |
| [1999] | Encounter with a geometer, Preprint M99-36, IHES. |
| [2000] | Riemannian geometry during the second half of the twentieth century, University Lecture Series, vol. 17, Amer. Math. Soc., Providence, RI, 2000. MR 2000h:53002 |
| [2003] | A panoramic view of Riemannian geometry, Springer-Verlag, New York, 2003. MR 2004h:53001 |
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| Alexander Berglund | |
| [2008] | Minimal models in algebra, combinatorics and topology, Ph.D. thesis, Stockholm University, Sweden, 2008. |
| [2010] | Homotopy invariants of Davis-Januszkiewicz spaces and moment-angle complexes, preprint, 2010 |
| [2011] | Koszul spaces, arXiv:1107.0685. |
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| Indranil Biswas, Mahan Mj, Harish Seshadri | |
| [2011] | Three-manifolds groups, Kähler groups and complex surfaces, Commun. Contemp. Math. (to appear), arXiv:1101.1162 |
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| Frédéric Bosio and Laurent Meersseman | |
| [2006] | Real quadrics in Cn, complex manifolds and convex polytopes, Acta Mathematica 197 (2006), no. 1, 53-127. MR 2007j:32037 |
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| Martin R. Bridson and Michael Tweedale | |
| [2007] | Constructing presentations of subgroups of right-angled Artin groups, arXiv:0709.0690. |
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| Gunnar Brinkmann and Brendan McKay | |
| [2007] | Fast generation of planar graphs, MATCH Commun. Math. Comput. Chem. 58 (2007), no. 2, 323-357. MR 2008g:05053 |
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| Ronald Brown | |
| [1988] | Some problems in non-abelian homotopical and homological algebra, Homotopy theory and related topics (Kinosaki, 1988), Lecture Notes in Math., vol. 1418, Springer, Berlin, 1990, pp. 105-129. MR 91j:55020 |
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| Ronald Brown and Philip J. Higgins | |
| [1990] | Crossed complexes and chain complexes with operators, Math. Proc. Cambridge Philos. Soc. 107 (1990), no. 1, 33-57. MR 90j:55030 |
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| Ronald Brown, Philip J. Higgins, and Rafael Sivera | |
| [2011] | Nonabelian algebraic topology, EMS Tracts in Mathematics, vol. 15, European Math. Society, Zürich, 2011. MR 2841564 |
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| Michael Brunnbauer | |
| [2008a] | On manifolds satisfying stable systolic inequalities, Math. Annalen 342 (2008), no. 4, 951-968. MR 2010c:53060 |
| [2008b] | Topological properties of asymptotic invariants and universal volume bounds, Ph.D. thesis, University of Munich, Germany, 2008. |
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| Peter Bubenik and Leah Gold | |
| [2011] | Graph products of spheres, associative graded algebras and Hilbert series, Math. Zeit. 268 (2011), no. 3-4, 821-836. MR 2818732. |
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| Victor Buchstaber | |
| [2008] | Lectures on toric topology, in: Toric Topology Workshop (KAIST 2008), Trends in Math., vol. 11 (2008), no. 1, 1-55 |
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| Victor Buchstaber and Taras Panov | |
| [2011] | Toric Topology, Chapter 1: arXiv:1102.1079, Chapter 2: arXiv:1102.1081 and Chapter 3: arXiv:1108.1081 |
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| Victor Buchstaber and Nigel Ray | |
| [2008] | An invitation to toric topology: vertex four of a remarkable tetrahedron, in: Toric Topology, Contemp. Math., vol. 460, Amer. Math. Soc, Providence, RI, 2008, pp. 1-28. MR 2009i:57074 |
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| Nero Budur | |
| [2008] | Hodge spectrum of hyperplane arrangements, arXiv:0809.3443. |
| [2009] | Unitary local systems, multiplier ideals, and polynomial periodicity of Hodge numbers, Advances in Math. 221 (2009), no. 1, 217-250. MR 2010j:32046 |
| [2011] | Complements and higher resonance varieties of hyperplane arrangements, Math. Research Letters 18 (2011), no. 5, 859-873. |
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| Nero Budur, Alexandru Dimca, and Morihiko Saito | |
| [2011] | First Milnor cohomology of hyperplane arrangements, in: Topology of algebraic varieties and singularities, 279-292, Contemporary Math., vol. 538, Amer. Math. Soc., Providence, RI, 2011. arXiv:0905.1284 MR 2777825. |
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| Nero Budur, Mircea Mustata, and Zach Teitler | |
| [2011] | The Monodromy Conjecture for hyperplane arrangements, Geom. Dedicata 153 (2011), no. 1, 131-137. MR 2819667. |
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| Nero Budur and Morihiko Saito | |
| [2010] | Jumping coefficients and spectrum of a hyperplane arrangement, Math. Annalen 347 (2010), no. 3, 545-579. MR 2011j:14042 |
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| Nero Budur, Morihiko Saito, and Sergey Yuzvinsky | |
| [2011] | On the local zeta functions and the b-functions of certain hyperplane arrangements, J. London Math. Soc. 84 (2011), no. 3, 631-648. |
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| Dmitri Burago, Yuri Burago, and Sergei Ivanov | |
| [2001] | A course in metric geometry, Graduate Studies in Mathematics, vol. 33, Amer. Math. Soc., Providence, RI, 2001. MR 2002e:53053 |
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| Gerhard Burde and Heiner Zieschang | |
| [1985] | Knots, de Gruyter Studies in Math., vol. 5, Walter de Gruyter, Berlin-New York, 1985. MR 87b:57004 |
| [2003] | Knots, Second edition, de Gruyter Studies in Math., vol. 5, Walter de Gruyter, Berlin, 2003. MR 2003m:57005 |
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| Marc Burger | |
| [2010] | Fundamental groups of Kähler manifolds and geometric group theory , Séminaire Bourbaki 2009-2010, Exp. no. 1022. |
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| Alberto Calabri, Ciro Ciliberto, Flaminio Flamini, and Rick Miranda | |
| [2003] | On degenerations of surfaces, math.AG/0310009. |
| [2007a] | On the K2 of degenerations of surfaces and the multiple point formula, Annals of Math. 165 (2007), no. 2, 335-395. MR 2008c:14018 |
| [2007b] | On the genus of reducible surfaces and degenerations of surfaces, Annales de l'Institut Fourier 157 (2007), no. 2, 491-516. MR 2008d:14013 |
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| Filippo Callegaro | |
| [2005] | On the cohomology of Artin groups in local systems and the associated Milnor fiber, J. Pure. Appl. Alg. 197 (2005), no. 1-3, 323-332. MR 2005k:20090. |
| [2006] | The cohomology of the Milnor fiber for classical braid groups, Algebraic & Geometric Topology 6 (2006), 1903-1923. MR 2007k:20077. |
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| Filippo Callegaro, Davide Moroni and Mario Salvetti | |
| [2008a] | Cohomology of affine Artin groups and applications, Trans. Amer. Math. Soc. 360 (2008), no. 8, 4169–4188. MR 2009c:20095. |
| [2008b] | Cohomology of Artin groups of type Ãn, Bn and applications, Geometry & Topology Monographs 13 (2008), 85–104. MR 2010e:20058. |
| [2010] | The K(π, 1) problem for the affine Artin group of type B~n and its cohomology, J. Eur. Math. Soc. 12 (2010), no. 1, 1–22. MR 2011e:20076. |
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| Filippo Callegaro and Mario Salvetti | |
| [2004] | Integral cohomology of the Milnor fibre of the discriminant bundle associated with a finite Coxeter group, C. R. Acad. Sci. Paris 339 (2004), no. 8, 573-578. MR 2005i:32029. |
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| Xiangyu Cao and Zhi Lü | |
| [2012] | Möbius transform, moment-angle complexes and Halperin-Carlsson conjecture, J. Algebr. Comb. 35 (2012), no. 1, 121-140. |
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| J. Scott Carter, Seiichi Kamada and Masahiko Saito | |
| [2004] | Surfaces in 4-space, Encyclopaedia of Mathematical Sciences, vol 142. Low-Dimensional Topology, III. Springer-Verlag, Berlin, 2004. MR 2005e:57065 |
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| J. Scott Carter and Masahiko Saito | |
| [1998] | Knotted surfaces and their diagrams, Math. Surveys Monographs, vol. 55, Amer. Math. Soc., Providence, RI, 1998. MR 98m:57027 |
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| Ruth Charney | |
| [2007] | An introduction to right-angled Artin groups, Geom. Dedicata 125 (2007), no. 1, 141-158. MR 2008f:20076 |
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| Haimiao Chen | |
| [2011] | Counting regular coverings of Seifert fibered manifolds, arXiv:1110.0186 |
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| Xiaoyang Chen | |
| [2011] | On the fundamental groups of compact Sasakian manifolds, arXiv:1110.2668 |
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| Alla Ditta Raza Choudary, Alexandru Dimca, and Stefan Papadima | |
| [2005] | Some analogs of Zariski's Theorem on nodal line arrangements, Algebraic and Geometric Topology 5 (2005), 691-711. MR 2006f:32038 |
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| Benoît Claudon | |
| [2009] | Remarques sur la cohomologie des groupes kählériens nilpotents, arXiv:0906.2606 |
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| Tim Cochran and Shelly Harvey | |
| [2005] | Homology and derived series of groups, Geometry and Topology 9 (2005), 2159-2191. MR 2007c:20120 |
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| Tim Cochran, Shelly Harvey, and Peter D. Horn | |
| [2011] | Higher-order signature cocycles for mapping class groups and homology cylinders, Intern. Math. Research Notices (to appear), arXiv:1003.4977 |
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| José Ignacio Cogolludo-Agustín | |
| [1999] | Topological invariants of the complement to arrangements of rational plane curves, Ph.D. thesis, University of Illinois at Chicago and Universidad Complutense, Madrid, 1999. |
| [2000] | Invariants of the complement to rational arrangements, C. R. Acad. Sci. Paris Sér. I Math. 330 (2000), no. 8, 697-701. MR 2001a:14058 |
| [2002] | Topological invariants of the complement to arrangements of rational plane curves, Memoirs of the Amer. Math. Soc. 159 (2002), no. 756. MR 2003k:32037 |
| [2011] | Braid monodromy of algebraic curves, Ann. Math. Blaise Pascal 18 (2012), no. 1, 141-209. MR 2830090 |
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| José Ignacio Cogolludo-Agustín and Daniel Matei | |
| [2007] | Cohomology algebra of plane curves, weak combinatorial type, and formality, Trans. Amer Math Soc. (to appear), arXiv:0711.1951 |
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| Daniel C. Cohen | |
| [1998] | Morse inequalities for arrangements, Adv. Math. 134 (1998), no. 1, 43-45. MR 98m:52017 |
| [2000] | On the cohomology of discriminantal arrangements and Orlik-Solomon algebras,, in: Arrangements--Tokyo 1998 (M. Falk, H. Terao, eds.), Adv. Stud. Pure Math., vol. 27, Math. Soc. Japan, Kinokuniya, Tokyo, 2000, pp. 27-49. MR 2001m:32059 |
| [2001] | Monodromy of fiber-type arrangements and orbit configuration spaces, Forum Math. 13 (2001), no. 4, 505-530. MR 2002i:52016 |
| [2002] | Triples of arrangements and local systems, Proc. Amer. Math. Soc. 130 (2002), no. 10, 3025-3031. MR 2003g:32044. |
| [2007] | Topological complexity of almost-direct products of free groups, in: Mini-Workshop: Topology of closed one-forms and cohomology jumping loci, Oberwolfach Rep. 4 (2007), no. 3, pp. 2321-2360. MR 2011e:20077 |
| [2009] | Resonance of basis-conjugating automorphism groups, Proc. Amer. Math. Soc. 137 (2009), no. 9, 2835-2841. MR 2010e:20057 |
| [2010] | Cohomology rings of almost-direct products of free groups, Compositio Math. 146 (2010), no. 2, 465-479. MR 2011e:20077 |
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| Daniel C. Cohen, Frederick R. Cohen, and Stratos Prassidis | |
| [2007] | Centralizers of Lie algebras associated to the descending central series of certain poly-free groups, Journal of Lie Theory 17 (2007), no. 2, 379-397. MR 2008e:20049 |
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| Daniel C. Cohen, Frederick R. Cohen, and Miguel Xicoténcatl | |
| [2003] | Lie algebras associated to fiber-type arrangements, Intern. Math. Research Notices 2003, no. 29, 1591-1621. MR 2005a:17019 |
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| Daniel C. Cohen, Armindo Costa, Michael Farber, and Thomas Kappeler | |
| [2012] | Topology of random 2-complexes, Discrete Comput. Geom. 47 (2012), no. 1, 117-149. |
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| Daniel C. Cohen, Graham Denham, Michael Falk, and Alexander N. Varchenko | |
| [2011] | Critical points and resonance of hyperplane arrangements, Canadian Journal of Math. 63 (2011), no. 5, 1038--1057. |
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| Daniel C. Cohen, Alexandru Dimca, and Peter Orlik | |
| [2003] | Nonresonance conditions for arrangements, Annales de l'Institut Fourier (Grenoble) 53 (2003), no. 6, 1883-1896. MR 2005a:32027 |
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| Daniel C. Cohen, Michael Falk, and Richard Randell | |
| [2010] | Discriminantal bundles, arrangement groups, and subdirect products of free groups, arXiv:1008.0417 |
| [2011] | Pure braid groups are not residually free, arXiv:1106.4602 |
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| Daniel C. Cohen and Michael Farber | |
| [2011] | Topological complexity of collision-free motion planning on surfaces, Compos. Math. 147 (2011), no. 2, 649-660. MR 2776616 |
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| Daniel C. Cohen and Peter Orlik | |
| [2000] | Arrangements and local systems, Math. Res. Lett. 7 (2000), no. 2-3, 299-316. MR 2001i:57040 |
| [2002] | Some cyclic covers of complements of arrangements, Topology Appl. 118 (2002), no. 1-2, 3-15. MR 2003h:32039 |
| [2003] | Gauss-Manin connections for arrangements, I Eigenvalues, Compositio Math. 136 (2003), no. 3, 299-316. MR 2004a:32042 |
| [2005a] | Gauss-Manin connections for arrangements, II Nonresonant weights, Amer. J. Math. 127 (2005), no. 3, 569-594. MR 2006a:32034 |
| [2005b] | Gauss-Manin connections for arrangements, III Formal connections, Trans. Amer. Math. Soc. 357 (2005), no. 8, 3031-3050. MR 2006a:32035 |
| [2006] | Stratified Morse theory in arrangements, Pure Appl. Math. Quarterly 2 (2006), no. 3, 673-697. MR 2007e:32033 |
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| Daniel C. Cohen and Goderdzi Pruidze | |
| [2008a] | Motion planning in tori, Bull. London Math. Soc. 40 (2008), no. 2, 249-262. MR 2009e:20079. |
| [2008b] | Topological complexity of basis-conjugating automorphism groups, Pacific J. Math 238 (2008), no. 2, 233-248. MR 2009g:20082. |
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| Daniel C. Cohen and Alexander N. Varchenko | |
| [2002] | Resonant local systems on complements of discriminantal arrangements and sl2 representations , Geom. Dedicata 101 (2003), no. 1, 217-234. MR 2004j:32027 |
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| Frederick R. Cohen | |
| [2004] | On loop spaces of configuration spaces, and related spaces, in: Noncompact problems at the intersection of geometry, analysis, and topology, Contemp. Math., vol. 350, Amer. Math. Soc., Providence, RI, 2004, pp. 63--81, MR 2005e:55025 |
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| Frederick R. Cohen, Toshitake Kohno, and Miguel Xicoténcatl | |
| [2009] | Orbit configuration spaces associated to discrete subgroups of PSL(2, R), J. Pure Applied Algebra 213 (2009), no. 12, 2289-2300. MR 2010k:55027 |
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| Frederick R. Cohen and Jonathan Pakianathan | |
| [1999] | Configuration spaces and braid groups, preprint, 1999. |
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| Raul Cordovil | |
| [1998] | The fundamental group of the complement of the complexification of a real arrangement of hyperplanes, Adv. in Appl. Math. 21 (1998), no. 3, 481-498. MR 99g:52015 |
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| Kevin Corlette and Carlos T. Simpson | |
| [2007] | On the classification of rank two representations of quasiprojective fundamental groups, Compositio Math. 144 (2008), no. 5, 1271-1331. MR 2010i:14006 |
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| Christopher B. Croke and Mikhail G. Katz | |
| [2003] | Universal volume bounds in Riemannian manifolds, in: Surveys in Differential Geometry, vol. 8, International Press, Somerville MA, 2003, pp. 109-137. math.DG/0302248. MR 2005d:53061 |
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| Xiu Peng Cui, Dong He Pei, and Rui Mei Gao | |
| [2010] | The classification of a sphere arrangement in S^2 and its characteristic polynomial, J. Shandong Univ. Nat. Sci. 45 (2010), no. 2, 10-13. MR 2723200 |
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| Pablo Dartnell | |
| [1991] | On the homology of groups of jets, Ph.D. thesis, Yale University, New Haven, CT, 1991. |
| [1994] | On the homology of groups of jets, J. Pure Appl. Algebra 92 (1994), no. 2, 109-121. MR 95g:20051 |
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| Michael W. Davis | |
| [2011a] | Right-angularity, flag complexes, asphericity, Geom. Dedicata (to appear), arXiv:1102.4670. |
| [2011b] | The Euler characteristic of a polyhedral product, Geom. Dedicata (to appear), arXiv:1103.3034. |
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| Michael W. Davis and Boris Okun | |
| [2010] | Cohomology computations for Artin groups, Bestvina-Brady groups, and graph products, Groups, Geometry and Dynamics (to appear), arXiv:1002.2564. |
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| Michael W. Davis and Simona Settepanella | |
| [2011] | Vanishing results for the cohomology of complex toric hyperplane complements, arXiv:1111.2866. |
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|
|
| Géry Debongnie | |
| [2007] | The homotopy Lie algebra of the complements of subspace arrangements with geometric lattices, Algebraic & Geometric Topology 7 (2007), 2007-2020. MR 2008m:55023 |
| [2008] | Rational homotopy type of subspace arrangements, PhD. thesis, Université Catholique de Louvain, Belgium, 2008. |
|
|
|
| Emanuele Delucchi | |
| [2010] | Combinatorics of covers of complexified hyperplane arrangements, in: Arrangements, local systems and singularities, 1-38, Progress in Math., vol. 283, Birkhäuser, Basel, 2010. |
|
|
|
| Graham Denham | |
| [1999] | Local systems on the complexification of an oriented matroid, Ph.D. thesis, University of Michigan, Ann Arbor, MI, 1999. |
| [2000] | Hanlon and Stanley's conjecture and the Milnor fibre of the braid arrangement, J. Algebraic Combin. 11 (2000), no. 3, 227-240. MR 2001i:52036 |
| [2002] | The Orlik-Solomon complex and Milnor fibre homology, Topology Appl. 118 (2002), no. 1-2, 45-63. MR 2002k:32048 |
| [2006] | Homology of subgroups of right-angled Artin groups, math.GR/0612748. |
| [2010] | Homological aspects of hyperplane arrangements, in: Arrangements, local systems and singularities, 39-58, Progress in Math., vol. 283, Birkhäuser, Basel, 2010. |
|
|
|
| Graham Denham and Philip Hanlon | |
| [1999] | Some algebraic properties of the Schechtman-Varchenko bilinear forms, New perspectives in algebraic combinatorics (Berkeley, CA, 1996-97), 149-176, Math. Sci. Res. Inst. Publ., vol. 38, Cambridge Univ. Press, Cambridge, 1999. MR 2000k:52021 |
|
|
|
| Graham Denham and Mathias Schulze | |
| [2010] | Complexes, duality and Chern classes of logarithmic forms along hyperplane arrangements, arXiv:1004.4237. |
|
|
|
| Alexandru Dimca | |
| [2000] | Arrangements, Milnor fibers and polar curves, math.AT/0011073. |
| [2003] | Hyperplane arrangements, M-tame polynomials and twisted cohomology, in: Commutative Algebra, Singularities and Computer Algebra (Sinaia 2002), Kluwer, NATO Science Series, vol. 115, 2003, pp. 113-126. math.AG/0212248, MR 2005b:32062. |
| [2004] | Sheaves in topology, Universitext, Springer-Verlag, Berlin, 2004. MR 2005j:55002. |
| [2007a] | On the irreducible components of characteristic varieties, An. Ştiinţ. Univ. "Ovidius" Constanţa Ser. Mat. 15 (2007), no. 1, 67-74. MR 2008m:14033. |
| [2007b] | Characteristic varieties and constructible sheaves, Rend. Lincei Mat. Appl. 18 (2007), no. 4, 365-389. MR 2009a:14006. |
| [2008a] | On the isotropic subspace theorem, Bull. Math. Soc. Sci. Math. Roumanie, 51 (2008), no. 4, 307-324. MR 2009m:32030. |
| [2009a] | On admissible rank one local systems, Journal of Algebra 321 (2009), no. 11, 3145-3157. MR 2010e:14015. |
| [2009b] | On the dimension of twisted cohomology groups, in: Proceedings of the Sixth Congress of Romanian Mathematicians, vol. 1, Romanian Academy, Bucharest, 2009, pp. 57-64. MR 2011j:32037 |
| [2010a] | Characteristic varieties and logarithmic differential 1-forms, Compositio Math. 146 (2010), no. 1, 129-144. MR 2011g:14019 |
| [2010b] | Pencils of plane curves and characteristic varieties , in: Arrangements, local systems and singularities, 59-82, Progress in Math., vol. 283, Birkhäuser, Basel, 2010. math.AG/0606442. |
| [2010c] | Tate properties, polynomial-count varieties, and monodromy of hyperplane arrangements, arXiv:1012.1437. |
| [2011] | Monodromy of triple point line arrangements, arXiv:1107.2214. |
|
|
|
| Alexandru Dimca, Richard Hain, and Stefan Papadima | |
| [2011] | The abelianization of the Johnson kernel, arXiv:1101.1392. |
|
|
|
| Alexandru Dimca and Laurentiu Maxim | |
| [2007] | Multivariable Alexander polynomials of hypersurface complements, Trans. Amer. Math. Soc. 359 (2007), no. 7, 3505-3528. MR 2008h:32038. |
|
|
|
| Alexandru Dimca and András Némethi | |
| [2004] | Hypersurface complements, Alexander modules and monodromy, in: Real and complex singularities, Contemp. Math., vol. 354, Amer. Math. Soc., Providence, RI, 2004, pp. 19-43. math.AG/0201291, MR 2005h:32076. |
|
|
|
| Alexandru Dimca and Stefan Papadima | |
| [2003] | Hypersurface complements, Milnor fibers and minimality of arrangements, Annals of Math. 158 (2003), no. 2, 473-507. MR 2005a:32028. |
| [2004] | Equivariant chain complexes, twisted homology and relative minimality of arrangements, Ann. Sci. École Norm. Sup. 37 (2004), no. 3, 449-467. MR 2005c:55028 |
| [2011] | Finite Galois covers, cohomology jump loci, formality properties, and multinets, Ann. Sc. Norm. Super. Pisa Cl. Sci. 10 (2011), no. 2, 253-268. MR 2856148. |
| [2010] | Arithmetic group symmetry and finiteness properties of Torelli groups, arXiv:1002.0673. |
|
|
|
| Alexandru Dimca and Morihiko Saito | |
| [2004] | Some consequences of perversity of vanishing cycles, Ann. Inst. Fourier (Grenoble) 54 (2004), no. 6, 1769--1792. MR 2006e:32034 |
|
|
|
| Alexandru Dimca and Sergey Yuzvinsky | |
| [2010] | Lectures on Orlik-Solomon algebras, in: Arrangements, local systems and singularities, 83-110, Progress in Math., vol. 283, Birkhäuser, Basel, 2010. |
|
|
|
| Thi Anh Thu Dinh | |
| [2009] | Line arrangements and admissible local systems, Ph.D. Thesis, Université de Nice, France, 2009. |
| [2011] | Characteristic varieties for a class of line arrangements, Canadian Math. Bull. 54 (2011), 56-67. MR 2797968 |
|
|
|
| Natalia Dobrinskaya | |
| [2008] | Configuration spaces with labels and loop spaces on K-products, Russian Math. Surveys 63 (2008), no. 6, 1141-1143. MR 2011a:55016 |
| [2009a] | Higher commutators in the loop space homology of K-products, Proc. Steklov Inst. Math. 266 (2009), no. 1, 91-104. MR 2011f:55010 |
| [2009b] | Loops on polyhedral products and diagonal arrangements, arXiv:0901.2871. |
| [2009c] | Moment-angle complexes, Golodness and sequentially Cohen-Macaulay property, preprint, 2009. |
|
|
|
| Simon Donaldson | |
| [1987] | The geometry of 4-manifolds, in: Proceedings of the International Congress of Mathematicians, Vol. 1 (Berkeley, Calif., 1986), 43--54, Amer. Math. Soc., Providence, RI, 1987. MR 89d:57002 |
|
|
|
| Nguyen Viet Dung | |
| [1999] | Braid monodromy of complex line arrangements, Kodai Math. J. 22 (1999), no. 1, 46-55. MR 2000e:14039 |
|
|
|
E |
|
|
|
|
| Charles Egedy | |
| [2009] | The extended picture group, with applications to line arrangement complements, Ph.D. thesis, Louisiana State University, Baton Rouge, LA, 2009. |
|
|
|
| David Eisenbud, Sorin Popescu, and Sergey Yuzvinsky | |
| [2003] | Hyperplane arrangement cohomology and monomials in the exterior algebra, Trans. Amer. Math. Soc. 55 (2003), no. 11, 4365-4383. MR 2004g:52036. |
|
|
|
| Meital Eliyahu, David Garber, and Mina Teicher | |
| [2010] | Conjugation-free geometric presentations of fundamental groups of arrangements, Manuscripta Math. 133 (2010), no. 1-2, 247-271. MR 2012a:32029. |
|
|
|
| Meital Eliyahu, Eran Liberman, Mary Schaps and Mina Teicher | |
| [2010] | Characterization of line arrangement for which the fundamental group of the complement is a direct product of free groups, Algebraic & Geometric Topology 10 (2010), 1285-1304. MR 2012a:14043. |
|
|
|
| Pavel Etingof, André Henriques, Joel Kamnitzer and Eric Rains | |
| [2010] | The cohomology ring of the real locus of the moduli space of stable curves of genus 0 with marked points, Ann. of Math. 171 (2010), no. 2, 731-777. MR 2012a:14067. |
|
|
|
| Philippe Eyssidieux | |
| [2009] | Lectures on the Shafarevich Conjecture on uniformization, preprint, 2009. |
|
|
|
F |
|
|
|
|
| Michael Falk | |
| [1997] | Arrangements and cohomology, Ann. Combin. 1 (1997), no. 2, 135-157. MR 99g:52017 |
| [2001] | Combinatorial and algebraic structure in Orlik-Solomon algebras, European J. Combinatorics 22 (2001), no. 5, 687-698. MR 2002f:52023 |
| [2004] | The line geometry of resonance varieties, math.CO/0405210. |
| [2007] | Resonance varieties over fields of positive characteristic, Int. Math. Research Notices 2007 (2007), no. 3, Art. ID rnm009, 25 pp. MR 2008m:14107 |
| [2010] | Geometry and combinatorics of resonant weights, in: Arrangements, local systems and singularities, 155-176, Progress in Math., vol. 283, Birkhäuser, Basel, 2010. |
|
|
|
| Michael Falk and Nicholas Proudfoot | |
| [2002] | Parallel connections and bundles of arrangements, Topology Appl. 118 (2002), no. 1-2, 65-83. MR 2002k:52033 |
|
|
|
| Michael Falk and Richard Randell | |
| [2000] | On the homotopy theory of arrangements, II, in: Arrangements--Tokyo 1998 (M. Falk, H. Terao, eds.), Adv. Stud. Pure Math., vol. 27, Math. Soc. Japan, Kinokuniya, Tokyo, 2000, pp. 93-125. math.CO/0002107. MR 2002b:32044 |
|
|
|
| Michael Falk and Sergey Yuzvinsky | |
| [2007] | Multinets, resonance varieties, and pencils of plane curves, Compositio. Math. 143 (2007), no. 4, 1069-1088. MR 2009e:52043. |
|
|
|
| Kwai-Man Fan | |
| [2009] | On parallel lines and free group, arXiv:0905.1178 |
|
|
|
| Eva Maria Feichtner | |
| [2011] | Diskrete Strukturen in Geometrie und Topologie, in: Facettenreiche Mathematik, 111-126, Springer, 2011. |
|
|
|
| Eva Maria Feichtner and Sergey Yuzvinsky | |
| [2005] | Formality of the complements of subspace arrangements with geometric lattices, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov 326 (2005), no. 3, 235--247. MR 2007a:55021. |
|
|
|
| Eva Maria Feichtner and Günter Ziegler | |
| [2002] | On orbit configuration spaces of spheres, Topology Appl. 118 (2002), no. 1-2, 85-102. MR 2002k:55039 |
|
|
|
| Yves Félix, John Oprea, and Daniel Tanré | |
| [2008] | Algebraic models in geometry, Oxford Graduate Texts in Mathematics, vol. 17, Oxford University Press, Oxford, 2008. MR 2009a:55006 |
|
|
|
| Yves Félix and Daniel Tanré | |
| [2009] | Rational homotopy of the polyhedral product functor, Proc. Amer. Math. Soc. 137 (2009), no. 3, 891-898. MR 2009i:55011 |
|
|
|
| Amiel Ferman, Tahl Nowik, Robert Schwartz, and Mina Teicher | |
| [2008] | New permutation representations of the braid group, arXiv:0811.4204 |
|
|
|
| Javier Fernández de Bobadilla | |
| [2011] | On homotopy types of complements of analytic sets and Milnor fibres, in: Topology of algebraic varieties and singularities, Contemporary Math., 363-367, vol. 538, Amer. Math. Soc., Providence, RI, 2011. arXiv:0907.2176. MR 2777829. |
|
|
|
| Michael H. Freedman | |
| [1999] | Z2-Systolic-Freedom, Proceedings of the Kirbyfest, 113-123, Geometry & Topology Monographs, vol. 2, 1999. MR 2001a:53065 |
|
|
|
| Michael H. Freedman, David A. Meyer, and Feng Luo | |
| [2002] | Z2-systolic freedom and quantum codes, in: Mathematics of quantum computation, pp. 287-320, Comput. Math. Ser., Chapman & Hall/CRC, Boca Raton, FL, 2002. MR 2004i:81044 |
|
|
|
| Stefan Friedl and Stefano Vidussi | |
| [2011] | A survey of twisted Alexander polynomials, in: The Mathematics of Knots, 45-94, Contributions in Mathematical and Computational Sciences, vol. 1, Springer, 2011. arXiv:0905.0591. MR 2777847. |
|
|
|
| Greg Friedman | |
| [2001] | Polynomial invariants of non-locally-flat knots, Ph.D. thesis, New York University, New York, NY, 2001. |
| [2003] | Alexander polynomials of non-locally-flat knots, Indiana Univ. Math. Journal 52 (2003), no. 6, 1479-1578. MR 2004m:57051. |
| [2004] | All frame-spun knots are slice, Proc. Amer. Math. Soc. 132 (2004), no. 10, 3103-3109. MR 2005f:57037. |
| [2005a] | Groups of locally-flat disk knots and non-locally-flat sphere knots, J. Knot Theory Ramifications 14 (2005), no. 2, 189-215. MR 2005m:57035. |
| [2005b] | Knot spinning, Handbook of Knot Theory (W. Menasco and M. Thistlethwaite, eds.), 187-208, Elsevier, Amsterdam, 2005. math.GT/0410606. MR 2006j:57046 |
|
|
|
| Shinji Fukuhara, Yukio Matsumoto, and Osamu Saeki | |
| [1991] | An estimate for the unknotting numbers of torus knots, Topology Appl. 38 (1991), no. 3, 293-299. MR 92b:57010 |
|
|
|
G |
|
|
|
|
| Giovanni Gaiffi, Francesca Mori, and Mario Salvetti | |
| [2011] | Minimal CW-complexes for complements to line arrangements via Discrete Morse Theory, in: Topology of algebraic varieties and singularities, 293--308, Contemporary Math., vol. 538, Amer. Math. Soc., Providence, RI, 2011. MR 2012b:32040 |
|
|
|
| Giovanni Gaiffi and Mario Salvetti | |
| [2009] | The Morse complex of a line arrangement, Journal of Algebra 321 (2009), no. 1, 316-337. MR 2009j:32021 |
|
|
|
| Dan Yan Gan | |
| [1996] | Embedded 2-spheres in indefinite 4-manifolds, Chinese Ann. Math. Ser. B 17 (1996), no. 3, 257-262. MR 97j:57056 |
|
|
|
| Dan Yan Gan and Jian Han Guo | |
| [1993] | Embeddings and immersions of a 2-sphere in 4-manifolds, Proc. Amer. Math. Soc. 118 (1993), no. 4, 1323-1330. MR 93j:57018 |
|
|
|
| David Garber and Mina Teicher | |
| [2000] | The fundamental group's structure of the complement of some configurations of real line arrangements, Complex analysis and algebraic geometry, de Gruyter, Berlin, 2000, pp. 173-223. MR 2001e:14021 |
|
|
|
| David Garber, Mina Teicher, and Uzi Vishne | |
| [2002] | Classes of wiring diagrams and their invariants, J. Knot Theory Ramifications 11 (2002), no. 8, 1165-1191. MR 2003m:52028. |
| [2003] | π1-classification of real arrangements with up to eight lines, Topology 42 (2003), no. 1, 265-289. MR 2004b:32048. |
|
|
|
| Mehdi Garrousian | |
| [2011] | Characteristic polynomial of arrangements and multiarrangements, Ph.D. thesis, University of Western Ontario, Canada, 2011. |
|
|
|
| Samuel Gitler and Santiago López de Medrano | |
| [2009] | Intersections of quadrics, moment-angle manifolds and connected sums, arXiv:0901.2580. |
|
|
|
| Jelena Grbić | |
| [2008] | Homotopy theory and the complement of a coordinate subspace arrangement, in: Toric topology, Contemp. Math., vol. 460, Amer. Math. Soc, Providence, RI, 2008, pp. 111-130. MR 2010d:55011. |
|
|
|
| Jelena Grbić and Stephen Theriault | |
| [2007] | The homotopy type of the complement of a coordinate subspace arrangement, Topology 46 (2007) no. 4, 357-396. MR 2008j:13051. |
| [2011] | The homotopy type of the polyhedral product for shifted complexes, arXiv:1109.2728. |
|
|
|
| Mikhail Grinberg | |
| [2001] | On the specialization to the asymptotic cone, J. Algebraic Geometry 10 (2001), no. 1, 1-17. math.AG/9805031. MR 2001m:14034 |
|
|
|
| Misha Gromov | |
| [1999] | Metric structures for Riemannian and non-Riemannian spaces (with appendices by M. Katz, P. Pansu and S. Semmes), Progr. Math., vol. 152, Birkhäuser, Boston, 1999. MR 2000d:53065 |
|
|
|
| Weiqing Gu and Shenjun Jiang | |
| [1999] | Knotty matrices in knots, J. Knot Theory Ramifications 8 (1999), 701-707. MR 2001g:57047 |
|
|
|
H |
|
|
|
|
| Amanda Hager | |
| [2010] | Freeness of hyperplane arrangement bundles and local homology of arrangement complements, Ph.D. thesis, The University of Iowa, Iowa City, IA, 2010. MR 2792878 |
|
|
|
| Jonathan A. Hillman | |
| [1988] | Two-knot groups with torsion free abelian normal subgroups of rank two, Comment. Math. Helv. 63 (1988), no. 4, 664-671. MR 90a:57033 |
| [1989a] | 2-Knots and their groups, Australian Math. Society Lecture Series, vol. 5, Cambridge Univ. Press, 1989. MR 90d:57025. |
| [1989b] | The algebraic characterization of the exteriors of certain 2-knots, Invent. Math. 97 (1989), no. 1, 195-207. MR 90d:57026. |
| [1992] | Geometries on 4-manifolds, Euler characteristic and elementary amenable groups, Knots 90 (Osaka, 1990), 25-46, de Gruyter, Berlin, 1992. MR 94b:57022. |
| [1994] | The algebraic characterization of geometric 4-manifolds, London Math. Society Lecture Note Series, vol. 198, Cambridge University Press, Cambridge, 1994. MR 95m:57032. |
| [2002a] | Algebraic invariants of links, Series on Knots and Everything, vol. 32, World Scientific Publishing, River Edge, NJ, 2002. MR 2003k:57014. |
| [2002b] | Four-manifolds, geometries, and knots, Geometry and Topology Monographs, vol. 5, Geometry and Topology Publications, Coventry, UK, 2002 (revised 2007). MR 2003m:57047. |
| [2006] | On Farber's invariants for simple 2q-knots, preprint, 2006. |
| [2011] | 2-Knots with solvable groups, J. Knot Theory Ramifications 20 (2011), no. 7, 977-994. MR 2819178. |
|
|
|
| Jonathan A. Hillman and Cherry Kearton | |
| [1997] | Algebraic invariants of simple 4-knots, J. Knot Theory Ramifications 6 (1997), no. 3, 307-318. MR 99b:57047 |
| [1998] | Simple 4-knots, J. Knot Theory Ramifications 7 (1998), no. 7, 907-923. MR 99k:57053 |
|
|
|
| Jonathan A. Hillman and Steven P. Plotnick | |
| [1990] | Geometrically fibred two-knots, Math. Ann. 287 (1990), no. 2, 259-273. MR 91g:57023 |
|
|
|
| Yoshiyuki Hirai | |
| [1989] | Representing homology classes of connected sums of 2-sphere bundles over 2-spheres, Kobe J. Math. 6 (1989), no. 2, 233-240. MR 91f:57020 |
|
|
|
| Eriko Hironaka | |
| [2001] | Boundary manifolds of line arrangements, Math. Annalen 319 (2001), no. 1, 17-32. MR 2001m:32061 |
| [2011] | Generalized lantern relations and planar line arrangements, arXiv:1107.0476. |
|
|
|
I |
|
|
|
|
| Kouyemon Iriye and Daisuke Kishimoto | |
| [2011] | Decompositions of polyhedral products, preprint, 2011. |
|
|
|
| Sergey Ivanov and Mikhail G. Katz | |
| [2004] | Generalized degree and optimal Loewner-type inequalities, Israel J. Math. 141 (2004), 221-233. MR 2005k:53047 |
|
|
|
J |
|
|
|
|
| Michel Jambu | |
| [2005] | On the fundamental group of complex hyperplane arrangements: lower central series and Chen groups, Southeast Asian Bull. Math. 29 (2005), no. 2, 345-360. MR 2007b:32043 |
|
|
|
| Solomon M. Jekel | |
| [1992a] | A spectral sequence for pseudogroups on R, Trans. Amer. Math. Soc. 333 (1992), no. 2, 741-749. MR 92m:58156 |
| [1992b] | Real analytic Γ-structures with one leaf on the torus, Bol. Soc. Mat. Mexicana (2) 37 (1992), no. 1-2, 289-291. MR 96e:57018 |
|
|
|
| Guang-feng Jiang and Jian-ming Yu | |
| [2007] | Reducibility of hyperplane arrangements, Science in China Series A-Mathematics 50 (2007), no. 5, 689-697. MR 2008g:32043 |
|
|
|
K |
|
|
|
|
| Sadok Kallel | |
| [2005] | Symmetric products, configuration spaces and loop spaces, preprint, 2005. |
|
|
|
| Seiichi Kamada | |
| [2002] | Braid and knot theory in dimension 4, Math, Surveys and Monographs, vol. 95, Amer. Math. Soc., Providence, RI, 2002. MR 2003d:57050. |
|
|
|
| Seiichi Kamada and Yukio Matsumoto | |
| [2005] | Enveloping monoidal quandles, Topology Appl. 146/147 (2005), 133-148. MR 2006d:57038 |
|
|
|
| Gesa Kämpf | |
| [2010] | Module theory over the exterior algebra with applications to combinatorics, Ph.D. thesis, University of Osnabrück, Germany, 2010. |
|
|
|
| Gesa Kämpf and Tim Römer | |
| [2009] | Homological properties of Orlik-Solomon algebras, Manuscripta Mathematica 129 (2009), no. 2, 181-210. MR 2010e:16010 |
|
|
|
| Taizo Kanenobu | |
| [1988] | Deforming twist spun 2-bridge knots of genus one, Proc. Japan Acad. Ser. A Math. Sci. 64 (1988), no. 4, 98-101. MR 89k:57045 |
|
|
|
| Shmuel Kaplan, Eran Liberman, and Mina Teicher | |
| [2004] | Braid monodromy computation of real singular curves, math.AG/0410444 |
|
|
|
| Shmuel Kaplan and Mina Teicher | |
| [2004] | Computing braid monodromy for plane algebraic curves, preprint, 2004. |
|
|
|
| Michael Kapovich and János Kollár | |
| [2011] | Fundamental groups of links of isolated singularities, arXiv:1109.4047. |
|
|
|
| Mikhail G. Katz | |
| [2001] | Laminations as systolic phase transitions, preprint, 2001. |
| [2002] | Local calibration of mass and systolic geometry, Geometric and Functional Analysis 12 (2002), no. 3, 599-621. MR 2003j:53077 |
| [2003] | Four-manifold systoles and surjectivity of period map, Comment. Math. Helv. 78 (2003), no. 4, 772-786. MR 2005d:53062. |
|
|
|
| Louis H. Kauffman and João Faria Martins | |
| [2008] | Invariants of welded virtual knots via crossed module invariants of knotted surfaces, Compositio Math. 144 (2008), no. 4, 1046-1080. MR 2009e:57008. |
|
|
|
| Yukihito Kawahara | |
| [2005] | Vanishing and bases for cohomology of partially trivial local systems on hyperplane arrangements, Proc. Amer. Math. Soc. 133 (2005), no. 7, 1907-1915. MR 2007b:32044. |
| [2007] | The non-vanishing cohomology of Orlik-Solomon algebras, Tokyo J. of Math. 30 (2007), no. 1, 223-238. MR 2008f:32032. |
| [2008] | Non-vanishing of the twisted cohomology on the complement of hypersurfaces, Proc. Amer. Math. Soc. 136 (2008), no. 6, 1967-1975. MR 2009d:32029. |
|
|
|
| Akio Kawauchi | |
| [1996] | A survey of knot theory, Birkhäuser, Boston, 1996. MR 97k:57011 |
|
|
|
| Hee Jung Kim and Daniel Ruberman | |
| [2008] | Smooth surfaces with non-simply-connected complements, Algebraic & Geometric Topology 8 (2008), no. 4, 2263-2287. MR 2010d:57029 |
|
|
|
| Jee Hyoun Kim, Ki Hyoung Ko, and Hyo Won Park | |
| [2012] | Graph braid groups and right-angled Artin groups, Trans. Amer. Math. Soc. 364 (2012), no. 1, 309-360. MR 2833585 |
|
|
|
| Robion Kirby | |
| [1997] | Problems in low-dimensional topology, Geometric topology (Athens, GA, 1993), AMS/IP Stud. Adv. Math., vol. 2.2, Amer. Math. Soc., Providence, RI, 1997, pp. 35-473. MR 1470751 |
|
|
|
| John R. Klein | |
| [1992] | A functional relation in stable knot theory, Math. Ann. 292 (1992), no. 1, 103-109. MR 93d:57044 |
|
|
|
| Bruno Klingler | |
| [2010a] | Kähler groups and duality, arXiv:1005.2836. |
| [2010b] | Fundamental groups of smooth projective complex varieties and duality, preprint, 2010. |
|
|
|
| Ki Hyoung Ko and Hyo Won Park | |
| [2011] | Characteristics of graph braid groups, arXiv:1101.2648. |
|
|
|
| Toshitake Kohno | |
| [2010] | Bar complex, configuration spaces and finite type invariants for braids, Topology Appl. 157 (2010), no. 1, 2-9. MR 2011f:57018 |
|
|
|
| Toshitake Kohno and Andrei Pajitnov | |
| [2011] | Circle-valued Morse theory for complex hyperplane arrangements, arXiv:1101.0437. |
|
|
|
| Dieter Kotschick | |
| [2010] | Three-manifolds and Kähler groups, Ann. Inst. Fourier (to appear), arXiv:1011.4084. |
|
|
|
| Dieter Kotschick and Gordana Matic | |
| [1995] | Embedded surfaces in four-manifolds, branched covers, and SO(3) invariants, Math. Proc. Cambridge Philos. Soc. 117 (1995), no. 2, 275-286. MR 95j:57030 |
|
|
|
| Sławomir Kwasik and Reinhard Schultz | |
| [2008] | Tangential thickness of homotopy lens spaces, preprint, 2008. |
|
|
|
L |
|
|
|
|
| Terry Lawson | |
| [1987] | Representing homology classes of almost definite 4-manifolds, Michigan Math J. 34 (1987), no. 1, 85-91. MR88d:57024 |
| [1992] | Smooth embeddings of 2-spheres in 4-manifolds, Exposition. Math. 10 (1992), no. 4, 289-309. MR 93m:57041 |
|
|
|
| Ian Leary and Müge Saadetoglu | |
| [2006] | Ordinary homology of Bestvina-Brady groups, in: Topological and geometric methods in group theory, Oberwolfach Rep. 3 (2006), no. 2, 1169-1213. MR 2308266 |
| [2011] | The cohomology of Bestvina-Brady groups, Groups, Geometry and Dynamics 5 (2011), no. 1, 121-138. MR 2763781 |
|
|
|
| Luis Lechuga and Aniceto Murillo | |
| [2007] | Topological complexity of formal spaces, in: Topological complexity and robotics, Contemp. Math., vol. 438, Amer. Math. Soc., Providence, RI, 2007, pp. 105-114. MR 2359032. |
|
|
|
| Peter Lee | |
| [2011a] | The pure virtual braid group is quadratic, Ph.D. thesis, University of Toronto, 2011. |
| [2011b] | The pure virtual braid group is quadratic, arXiv:1110.2356. |
|
|
|
| Ronnie Lee and Dariusz Wilczynski | |
| [1990] | Locally flat 2-spheres in simply connected 4-manifolds, Comment. Math. Helv. 65 (1990), no. 3, 388-412. MR 91i:57011 |
|
|
|
| Constance Leidy and Laurentiu Maxim | |
| [2008] | Obstructions on fundamental groups of plane curve complements, in: Real and complex singularities, Contemp. Math., vol. 459, Amer. Math. Soc., Providence, RI, 2008, pp. 117-130. math.AT/0703008, MR 2010b:32045 |
|
|
|
| Jerry Levine and Kent Orr | |
| [2000] | A survey of applications of surgery to knot and link theory, in: Surveys on surgery theory: Vol. 1. Papers dedicated to C.T.C. Wall (S. Cappell, A. Ranicki, J. Rosenberg, eds.), Ann. of Math. Studies, vol. 145, Princeton Univ. Press, Princeton, NJ, 2000, pp. 345-364. MR 2001e:57034 |
|
|
|
| Anatoly Libgober | |
| [2001] | Characteristic varieties of algebraic curves, in: Applications of algebraic geometry to coding theory, physics and computation (Eilat, 2001), NATO Sci. Ser. II Math. Phys. Chem., vol. 36, Kluwer Acad. Publ., Dordrecht, 2001, pp. 215-254. math.AG/9801070. MR 2003e:14008. |
| [2002a] | First order deformations for rank one local systems with non vanishing cohomology, Topology Appl. 118 (2002), no. 1-2, 159-168. MR 2002m:52025 |
| [2002b] | Eigenvalues for the monodromy of the Milnor fibers of arrangements, in: Trends in singularities, Trends Math., Birkhäuser, Basel, 2002, pp. 141-150. math.AG/0108019. MR 2003f:32035. |
| [2006] | Homotopy groups of complements to ample divisors, in: Singularity theory and its applications, 179--204, Advanced Studies in Pure Math., vol. 43, Math. Soc. Japan, Tokyo, 2006. math.AG/0404341. MR 2008d:14035. |
| [2007] | Lectures on topology of complements and fundamental groups, in: Singularity theory, 71-137, World Sci. Publ., Hackensack, NJ, 2007. math.AG/0510049. MR 2008i:14043. |
| [2011] | Development of the theory of Alexander invariants in Algebraic Geometry, in: Topology of algebraic varieties and singularities, 3-17, Contemporary Math., vol. 538, Amer. Math. Soc., Providence, RI, 2011. MR 2777814. |
|
|
|
| Anatoly Libgober and Sergey Yuzvinsky | |
| [2000a] | Cohomology of the Orlik-Solomon algebras and local systems, Compositio Math. 121 (2000), no. 3, 337-361. MR 2001j:52032 |
| [2000b] | Cohomology of local systems, in: Arrangements-Tokyo 1998 (M. Falk, H. Terao, eds.), Adv. Stud. Pure Math., vol. 27, Math. Soc. Japan, Kinokuniya, Tokyo, 2000, pp. 169-184. MR 2001j:32026. |
|
|
|
| Paulo Lima-Filho and Hal Schenck | |
| [2009a] | Holonomy Lie algebras and the LCS formula for graphic arrangements, Intern. Math. Research Notices 2009 (2009), no. 8, 1421-1432. MR 2010k:52030. |
| [2009b] | Efficient computation of resonance varieties via Grassmannians, J. Pure Appl. Alg. 213 (2009), no. 8, 1606-1611. MR 2010e:52061. |
|
|
|
| Michael Lönne | |
| [2003] | Braid monodromy of hypersurface singularities, Habilitationsschrift, Universität Hannover, 2003. math.AG/0602371 |
| [2004a] | Braid monodromy of curve singularities of Brieskorn Pham type, preprint, 2004. |
| [2004b] | Hurwitz stabilisers of some short redundant Artin systems for the braid group Br3, math.AG/0406154. |
| [2010] | Geometric and algebraic significance of some Hurwitz stabilisers in Brn, Int. Electron. J. Algebra 8 (2010), 1-17. MR 2011j:20093. |
|
|
|
| David Long | |
| [2007] | Alexander and Thurston norms of links and 3-manifolds, Ph.D. thesis, Northeastern University, Boston, MA, 2007. MR 2711246 |
| [2008a] | The Laurent norm, arXiv:0808.1058. |
| [2008b] | Alexander and Thurston norms of graph links, arXiv:0808.1066. |
|
|
|
M |
|
|
|
|
| Anca Macinic | |
| [2009] | A survey of combinatorial aspects in the topology of complex hyperplane arrangements, in: Combinatorial aspects of commutative algebra, Contemp. Math., vol. 502, Amer. Math. Soc, Providence, RI, 2009, pp. 113-128. arXiv:0811.2156. MR 2011h:32029 |
| [2010] | Cohomology rings and formality properties of nilpotent groups, J. Pure Appl. Alg. 214 (2010), no. 10, 1818-1826. MR 2011i:20054 |
|
|
|
| Anca Macinic and Stefan Papadima | |
| [2009a] | On the monodromy action on Milnor fibers of graphic arrangements, Topology Appl. 156 (2009), no. 4, 761-774. MR 2010i:32028 |
| [2009b] | Characteristic varieties of nilpotent groups and applications, in: Proceedings of the Sixth Congress of Romanian Mathematicians, vol. 1, Romanian Academy, Bucharest, 2009, pp. 57-64. arXiv:0710.5398. MR 2011j:20083 |
|
|
|
| Miguel Ángel Marco-Buzunáriz | |
| [2005] | Resonance varieties, admissible line combinatorics and combinatorial pencils, math.CO/0505435. |
| [2009] | A description of the resonance variety of a line combinatorics via combinatorial pencils, Graphs and Combinatorics 25 (2009), no. 4, 469-488. MR 2010m:52060 |
|
|
|
| João Faria Martins | |
| [2005] | On 2-dimensional homotopy invariants of complements of knotted surfaces, math.GT/0507239. |
| [2009] | The fundamental crossed module of the complement of a knotted surface, Trans. Amer. Math. Soc. 361 (2009), no. 9, 4593-4630. MR 2010j:57034 |
|
|
|
| Olli Martio and Vladimir Ryazanov | |
| [2002] | Suspensions of generalized spheres and the triangulation theory, Siberian Adv. Math. 12 (2002), no. 3, 41-61. MR 2004d:57026 |
|
|
|
| Yoshihiko Marumoto | |
| [1997] | Complementary space of knots and disks in dimension 4, in: Progress in knot theory and related topics, Travaux en Cours, vol. 56, Hermann, Paris, 1997, pp. 13-19. MR 98m:57031 |
|
|
|
| David B. Massey | |
| [1996] | Perversity, duality and arrangements in C3, Topology Appl. 73 (1996), no. 2, 169-179. MR 97k:32054 |
|
|
|
| Daniel Matei | |
| [1999] | Fundamental groups of links and arrangements: characteristic varieties, resonance varieties, and finite index subgroups, Ph.D. thesis, Northeastern University, Boston, MA, 1999. |
| [2007] | Massey products of complex hypersurface complements, in: Singularity Theory and its Applications, 205-219, Advanced Studies in Pure Math., vol. 43, Math. Soc. Japan, Tokyo, 2006. math.AG/0505391. MR 2008h:32041 |
|
|
|
| Laurentiu Maxim | |
| [2007] | On the Alexander invariants of hypersurface complements, in: Singularity theory, World Scientific, 2007, pp. 725-743. MR 2008f:32037 |
|
|
|
| Vasileios Metaftsis and Evagelos Raptis | |
| [2008] | On the profinite topology of right-angled Artin groups, Journal of Algebra 320 (2008), no. 3, 1174-1181. MR 2009d:20084 |
|
|
|
| Matthew Miller | |
| [2011] | Massey products and k-equal manifolds, Intern. Math. Research Notices (to appear) |
|
|
|
| Matthew Miller and Max Wakefield | |
| [2011] | Formality of Pascal arrangements, Proc. Amer. Math. Soc. 139 (2011), no. 12, 4461-4466. MR 2823091 |
| [2012] | Edge colored hypergraphic arrangements, Pure and Applied Math. Quart. 8 (2012), no. 3, 757-779. |
|
|
|
N |
|
|
|
|
| Anthony J. Narkawicz | |
| [2007] | Cohomology jumping loci and the relative Malcev completion, Ph.D. thesis, Duke University, Durham, NC, 2007. MR 2711033 |
| [2008] | Cohomology jumping loci and relative Malcev completion, arXiv:0804.4164. |
|
|
|
| Shaheen Nazir | |
| [2007] | Hyperplane arrangements, Ph.D. thesis, Abdus Salam School of Math. Sciences, Lahore, Pakistan, 2007. |
| [2009] | On the intersection of rational transversal subtori, J. Aust. Math. Soc. 86 (2009), no. 2, 221-231. MR 2010j:32047 |
|
|
|
| Shaheen Nazir and Zahid Raza | |
| [2009] | Admissible local systems for a class of line arrangements, Proc. Amer. Math. Soc. 137 (2009), no. 4, 1307-1313. MR 2009k:32030 |
|
|
|
| Shaheen Nazir and Masahiko Yoshinaga | |
| [2010] | On the connectivity of the realization spaces of line arrangements, arXiv:1009.0202 |
|
|
|
| András Némethi and Ágnes Szilárd | |
| [2012] | Milnor fiber boundary of a non-isolated surface singularity, Lecture Notes in Math, vol. 2037, Springer-Verlag, Berlin Heidelberg, 2012. |
|
|
|
O |
|
|
|
|
| Mutsuo Oka | |
| [2005] | A survey on Alexander polynomials of plane curves, in: Singularités Franco-Japonaises (CIRM, 2002), Séminaires et Congrès, Soc. Math. France 10 (2005), 209-232. MR 2006m:14038 |
|
|
|
| John Oprea and Daniel Tanré | |
| [2011] | Rational homotopy in mathematics and physics, Arbeitsgemeinschaft at the Mathematisches Forschungsinstitut Oberwolfach, April 2011. |
|
|
|
| Peter Orlik and Richard Randell | |
| [1993] | The Milnor fiber of a generic arrangement, Arkiv für Mat. 31 (1993), no. 1, 71-81. MR 95e:32044 |
|
|
|
| Peter Orlik and Hiroaki Terao | |
| [2001] | Arrangements and hypergeometric integrals, MSJ Memoir, vol. 9, Mathematical Society of Japan, Tokyo, 2001. MR 2003a:32048 |
|
|
|
| Peter Orlik and Volkmar Welker | |
| [2007] | Algebraic combinatorics (Lectures from the Summer School held in Nordfjordeid, June 2003), Universitext, Springer, Berlin, 2007. MR 2008h:05116 |
|
|
|
| Liviu Ornea and Mihaela Pilca | |
| [2011] | Remarks on the product of harmonic forms, Pacific J. Math. 250 (2011), no. 2, 353-363. MR 2794605 |
|
|
|
P |
|
|
|
|
| Taras Panov | |
| [2006] | Topology of Kempf-Ness sets for algebraic torus actions, in: Proceedings of the Conference "Contemporary Geometry and Related Topics", Faculty of Mathematics, University of Belgrade, 2006, pp. 409-426. |
| [2008] | Toric Kempf-Ness sets, Proc. Steklov Inst. Math. 263 (2008), no. 1, 159-172. MR 2011g:14111 |
| [2009] | Topology and combinatorics of torus actions, Doctor of science thesis (preliminary version), 2009. |
|
|
|
| Taras Panov and Nigel Ray | |
| [2008] | Categorical aspects of toric topology, in: Toric Topology, Contemp. Math., vol. 460, Amer. Math. Soc., Providence, RI, 2008, pp. 293-322. arXiv:0707.0300. MR 2009j:55026 |
|
|
|
| Stefan Papadima | |
| [2007] | Global versus local algebraic fundamental groups, in: Mini-Workshop: Topology of closed one-forms and cohomology jumping loci, Oberwolfach Rep. 4 (2007), no. 3, pp. 2321-2360. MR 2432117 |
|
|
|
| Luis Paris | |
| [2000a] | Intersection subgroups of complex hyperplane arrangements, Topology Appl. 105 (2000), no. 3, 319-343. MR 2002g:52031 |
| [2000b] | On the fundamental group of the complement of a complex hyperplane arrangement, in: Arrangements--Tokyo 1998 (M. Falk, H. Terao, eds.), Adv. Stud. Pure Math., vol. 27, Math. Soc. Japan, Kinokuniya, Tokyo, 2000, pp. 257-272. MR 2001k:32050 |
| [2009] | Braid groups and Artin groups, in: Handbook on Teichmüller theory, vol. II (A. Papadopoulos, ed.), IRMA Lect. Math. Theor. Phys., Vol. 13, Eur. Math. Soc. Publ. House, Zürich, 2009, pp. 389-454. arXiv:0711.2372. MR 2011b:20107 |
|
|
|
| Irena Peeva and Mike Stillman | |
| [2009] | Open problems on syzygies and Hilbert functions, J. Commut. Algebra 1 (2009), no. 1, 159-195. MR 2009i:13024 |
|
|
|
| Jorge Vitório Pereira | |
| [2010] | Resonance webs of hyperplane arrangements, arXiv:1004.0122. |
|
|
|
| Jorge Vitório Pereira and Sergey Yuzvinsky | |
| [2008] | Completely reducible hypersurfaces in a pencil, Adv. Math. 219 (2008), no. 2, 672-688. MR 2009g:14010 |
|
|
|
| Steven P. Plotnick | |
| [1986] | Equivariant intersection forms, knots in S4, and rotations in 2-spheres, Trans. Amer. Math. Soc. 296 (1986), no. 2, 543-575. MR 87j:57012 |
|
|
|
| Neeraj Pradhan | |
| [2006] | Hyperplane arrangements and the Bernstein-Gelfand-Gelfand correspondence, Columbia Undergraduate Science Journal 1, no. 1 (2006), 28-34. |
|
|
|
R |
|
|
|
|
| Richard Randell | |
| [2002] | Morse theory, Milnor fibers and minimality of hyperplane arrangements, Proc. Amer. Math. Soc. 130 (2002), no. 9, 2737-2743. MR 2003e:32048 |
| [2009] | Homotopy groups and twisted homology of arrangements, Algebr. Geom. Topol. 9 (2009), 1299-1308. MR 2011a:55007 |
| [2011] | The topology of hyperplane arrangements, in: Topology of algebraic varieties and singularities, 309-318, Contemporary Math., vol. 538, Amer. Math. Soc., Providence, RI, 2011. MR 2777827 |
|
|
|
| Andrew Ranicki | |
| [1998] | High dimensional knot theory, Springer Monographs in Mathematics, Springer-Verlag, 1998. MR 2000i:57044 |
|
|
|
| Zahid Raza | |
| [2007] | Topology of plane curves and discriminants, Ph.D. thesis, Abdus Salam School of Math. Sciences, Lahore, Pakistan, 2007. |
| [2010] | Broughton polynomials and characteristic varieties, Studia Sci. Math. Hungar. 47 (2010), no. 2, 214-222. |
|
|
|
| William Richter | |
| [1994] | High-dimensional knots with π1=Z are determined by their complements in one more dimension than Farber's range , Proc. Amer. Math. Soc. 120 (1994), no. 1, 285-294. MR 94b:57027 |
|
|
|
| Jan-Erik Roos | |
| [2008] | The homotopy Lie algebra of a complex hyperplane arrangement is not necessarily finitely presented, Experimental Math. 18 (2008), no. 2, 129-143. MR 2009e:16011 |
| [2010] | Three-dimensional manifolds, skew-Gorenstein rings and their cohomology, J. Commutative Algebra 2 (2010), no. 4, 473-499. MR 2012a:16025 |
|
|
|
| Dennis Roseman | |
| [1992] | Motions of flexible objects, in: Modern geometric computing for visualization (Tokyo, 1992), 91--120, Springer-Verlag, Tokyo, 1992. MR 94c:52013 |
|
|
|
| Eric C. Rowell | |
| [2009] | Two paradigms for topological quantum computation, in: Advances in Quantum Computation, Contemp. Math., vol. 482, Providence, RI, 2009, pp. 165-177. arXiv:0803.1258. MR 2010i:81116 |
|
|
|
| Lee Rudolph | |
| [2005] | Knot theory of complex plane curves, Handbook of Knot Theory (W. Menasco and M. Thistlethwaite, eds.), 349-427, Elsevier, Amsterdam, 2005. math.GT/0411115. MR 2007b:57016 |
|
|
|
| John W. Rutter | |
| [1997] | Spaces of homotopy self-equivalences, Lecture Notes in Math., vol. 1662, Springer-Verlag, Berlin, 1997. MR 98f:55005 |
|
|
|
S |
|
|
|
|
| Stéphane Sabourau | |
| [2001] | Sur quelques problèmes de la géométrie des systoles, Ph.D. thesis, Université Montpellier II, France, 2001. |
| [2004] | Filling radius and short closed geodesics of the 2-sphere, Bull. Soc. Math. France 132 (2004), no. 1, 105-136. MR 2005g:53065 |
| [2006] | Systolic volume and minimal entropy of aspherical manifolds, J. Diff. Geom. 74 (2006), no. 1, 155-176. MR 2007j:53047 |
|
|
|
| Osamu Saeki | |
| [1992] | On 4-manifolds homotopy equivalent to the 2-sphere, in: Aspects of low-dimensional manifolds, Adv. Stud. Pure Math., vol. 20, Kinokuniya, Tokyo, 1992, pp. 301-330. MR 94h:57033 |
|
|
|
| Osamu Saeki and Kazuhiro Sakuma | |
| [1998] | On special generic maps into R3, Pacific J. Math. 184 (1998), no. 1, 175-193. MR 99h:57059 |
|
|
|
| Morihiko Saito | |
| [2006] | Bernstein-Sato polynomials of hyperplane arrangements, math.AG/0602527 |
| [2007] | Multiplier ideals, b-function, and spectrum of a hypersurface singularity, Compositio Math. 143 (2007), no. 4, 1050-1068. MR 2008h:32042 |
|
|
|
| Mario Salvetti and Simona Settepanella | |
| [2007] | Combinatorial Morse theory and minimality of hyperplane arrangements, Geometry & Topology 11 (2007), 1733-1766. MR 2009c:32052 |
|
|
|
| Eric Samansky | |
| [2001] | Arrangements of hyperplanes: Resonance varieties over C and over finite fields, REU project, 2001. |
|
|
|
| Hal Schenck | |
| [2011a] | Resonance varieties via blowups of P2 and scrolls, Intern. Math. Research Notices 2011 (2011), nr. 20, 4756-4778. |
| [2011b] | Blow-ups of Pn and hyperplane arrangements, in: Recent developments and open problems in linear series, arXiv:1101.4363 |
| [2011c] | Hyperplane arrangements: computations and conjectures, arXiv:1101.0356 |
|
|
|
| Hal Schenck and Stefan Tohaneanu | |
| [2009] | The Orlik-Terao algebra and 2-formality, Math. Research Letters 16 (2009), no. 1, 171-182. MR 2010h:13023 |
|
|
|
| Helen G. Schroeder | |
| [2006] | Notes on the Lawrence-Krammer-Bigelow representation, Ph.D. thesis, The University of Iowa, Iowa City, IA, 2006. MR 2709779 |
|
|
|
| Reinhard Schultz | |
| [2007] | Between lower and higher dimensions (in the work of Terry Lawson), in: Proceedings of a symposium in recognition of the retirement of Terry Lawson from Tulane University, 2007. |
| [2008] | Smoothable submanifolds of a smooth manifold, preprint, 2008. |
|
|
|
| Simona Settepanella | |
| [2003] | Cohomologies of generalized pure braid groups and Milnor fibre of reflection arrangements, Ph.D. Thesis, Universitá di Pisa, 2003. |
| [2009a] | Cohomology of pure braid groups of exceptional cases, Topology Appl. 156 (2009), no. 5, 1008-1012. MR 2010i:20040 |
| [2009b] | On the cohomology with local coefficients of pure braid groups, An. Ştiinţ. Univ. "Ovidius" Constanţa Ser. Mat. 17 (2009), no. 1, 211-230. MR 2011b:20108 |
|
|
|
| Dan Silver | |
| [1995] | Knot invariants from topological entropy, Topology Appl. 61 (1995), no. 2, 159-177. MR 95m:57020 |
|
|
|
| Carlos T. Simpson | |
| [2004] | The construction problem in Kähler geometry, in: Different faces of geometry (S. K. Donaldson, Ya. Eliashberg, M. Gromov, eds.), pp. 365-402, International Math. Series, vol. 3, Kluwer, 2004. MR 2005h:32044 |
| [2006] | Formalized proof, computation, and the construction problem in algebraic geometry, in: Groupes de Galois arithmétiques et différentiels, pp. 367-387, Sémin. Congr., vol. 13, Soc. Math. France, Paris, 2006. math.AG/0410224, MR 2009h:14104 |
| [2008] | A weight two phenomenon for the moduli of rank one local systems on open varieties, in: From Hodge Theory to Integrability and TQFT: tt*-geometry (R. Donagi, K. Wendland, eds), pp. 175-214, Proc. Symp. Pure Math., vol. 78, Amer. Math. Soc., Providence, RI, 2008. arXiv:0710.2800, MR 2010k:14015 |
|
|
|
| Qiang Sun | |
| [2011] | Configuration spaces of singular spaces, Ph.D. thesis, University of Rochester, Rochester, NY, 2011. |
|
|
|
T |
|
|
|
|
| Dai Tamaki | |
| [2006] | Algebraic topology: A literature guide |
|
|
|
| Sheng-Li Tan, Stephen S.-T. Yau and Fei Ye | |
| [2011] | A note on the topology of the complements of fiber-type line arrangements in CP2 , Pacific J. Math. 251 (2011), no. 1, 207-218. MR 2794621 |
|
|
|
| Kokoro Tanaka | |
| [2007] | Inequivalent surface-knots with the same knot quandle, Topology Appl. 154 (2007), no. 15, 2757-2763. MR 2008m:57061 |
|
|
|
| Darren Tapp | |
| [2007] | Bernstein-Sato polynomials and Picard-Lefschetz monodromy, Ph.D. thesis, Purdue University, West Lafayette, IN, 2007. |
| [2008] | Picard-Lefschetz monodromy of products, J. Pure Appl. Algebra 212 (2008), no. 10, 2314-2319. MR 2010a:32050 |
|
|
|
| Masakazu Teragaito | |
| [1989] | Twisting symmetry-spins of 2-bridge knots, Kobe J. Math. 6 (1989), no. 1, 117-125. MR 91d:57014 |
|
|
|
| Phong Dinh Thieu | |
| [2011] | Note on resonance varieties, arXiv:1109.4015 |
|
|
|
| Mihai Tibar | |
| [2002] | Vanishing cycles of pencils of hypersurfaces, math.AG/0204094v2. |
| [2003] | Complements of hypersurfaces, variation maps and minimal models of non-central arrangements, preprint, 2003. |
|
|
|
| Stefan Tohaneanu | |
| [2007a] | Homological algebra and problems in combinatorics and geometry, Ph.D. thesis, Texas A&M University, College Station, TX, 2007. |
| [2007b] | Topological criteria for k-formal arrangements, Beiträge zur Algebra und Geometrie 48 (2007), no. 1, 27-34. MR 2008b:52036 |
|
|
|
| Alvise Trevisan | |
| [2012] | Generalized Davis-Januszkiewicz spaces and their applications to algebra and topology, Ph.D. thesis, Vrije Universiteit Amsterdam, The Netherlands, 2012. |
|
|
|
W |
|
|
|
|
| Uli Walther | |
| [2005] | Bernstein-Sato polynomial versus cohomology of the Milnor fiber for generic hyperplane arrangements, Compositio Math. 141 (2005), no. 1, 121-145. MR 2005k:32030 |
|
|
|
| Xiangjun Wang and Qibing Zheng | |
| [2010] | The homology of simplicial complement and the cohomology of the moment-angle complexes, arXiv:1006.3904 |
| [2011] | The homology of simpicial complements and the cohomology of moment-angle complexes, arXiv:1109.6382 |
|
|
|
| Eric Westlund | |
| [1997] | The boundary manifold of an arrangement, Ph.D. thesis, University of Wisconsin, Madison, WI, 1997. MR 2697010 |
|
|
|
| Kristopher Williams | |
| [2011a] | The Milnor fiber associated to an arrangement of hyperplanes, Ph.D. thesis, The University of Iowa, Iowa City, IA, 2011. |
| [2011b] | Line arrangements and direct sums of free groups, Algebr. Geom. Topol. 11 (2011), 587--604. MR 2783239 |
| [2011] | The homology groups of the Milnor fiber associated to a central arrangement of hyperplanes in C^3, arXiv:1110.0822 |
|
|
|
Y |
|
|
|
|
| Fei Ye | |
| [2011a] | Topology of moduli spaces and complements of hyperplane arrangements, Ph.D. thesis, University of Illinois at Chicago, 2011. |
| [2011b] | Classification of moduli spaces of arrangements of 9 projective lines, arXiv:1112.4306 |
|
|
|
| Vladimir N. Yershov | |
| [2009] | A cyclic universe with colour fields, Central European Journal of Physics 7 (2009), no. 1, 50-66. |
|
|
|
| Masahiko Yoshinaga | |
| [2007] | Hyperplane arrangements and Lefschetz's hyperplane section theorem, Kodai Math J. 30 (2007), no. 2, 157-194. MR 2008i:32042 |
| [2008] | Generic section of a hyperplane arrangement and twisted Hurewicz maps, Topology & Appl. 155 (2008), no. 9, 1022-1026. MR 2009e:32031 |
| [2009] | The chamber basis of the Orlik-Solomon algebra and Aomoto complex, Arkiv för Matematik 47 (2009), no. 2, 393-407. MR 2011a:32045 |
| [2010] | Minimality of hyperplane arrangements and basis of local system cohomology, arXiv:1002.2038 |
| [2011] | Minimal stratifications for line arrangements and positive homogeneous presentations for fundamental groups, arXiv:1105.1857 |
|
|
|
| Sergey Yuzvinsky | |
| [2001] | Orlik-Solomon algebras in algebra and topology, Russian Math. Surveys 56 (2001), no. 2, 293-364. MR 2002i:14047 |
| [2010] | Resonance varieties of arrangement complements, preprint, 2010. |
|
|
|
Z |
|
|
|
|
| Qibing Zheng | |
| [2011] | A homeomorphism invariant of polyhedra, arXiv:1102.4883. |
| [2011] | The homology coalgebra and cohomology algebra of generalized moment-angle complexes, arXiv:1201.4917. |
|
|
|
| Qibing Zheng and Feifei Fan | |
| [2011] | Simplicial homeology and homeotopy, arXiv:1107.0232. |
|
|
|
| Hugues Zuber | |
| [2008] | Combinatorics of line arrangements and characteristic varieties, arXiv:0806.3892v1. |
| [2009] | Variétés caractéristiques et non formalité des fibres de Milnor, Ph.D. Thesis, Université de Nice, France, 2009. |
| [2010] | Non-formality of Milnor fibres of line arrangements, Bull. London Math. Soc. 42 (2010), no. 5, 905-911. MR 2012b:32041 |
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| Malcev Lie algebra | |
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