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Title Configuration spaces : geometry, combinatorics and topology / edited by A. Björner, F. Cohen, C. De Concini, C. Procesi, M. Salvetti
Published Pisa : Edizioni della Normale, [2012]
©2012

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Description 1 online resource (xxii, 536 pages) : illustrations
Series CRM series ; 14
CRM series (Pisa, Italy) ; 14.
Contents On the structure of spaces of commuting elements in compact Lie groups / Alejandro Adem, José Manuel Gómez -- On the fundamental group of the complement of two real tangent conics and an arbitrary number of real tangent lines / Meirav Amram, David Garber, Mina Teicher -- Intersection cohomology of a rank one local system on the complement of a hyperplane-like divisor / Dimitry Arinkin, Alexander Varchenko -- A survey of some recent results concerning polyhedral products / Anthony P. Bahri, Martin Bendersky, Frederick R. Cohen, Samuel Gitler -- Characters of fundamental groups of curve complements and orbifold pencils / Enrique Artal Bartolo, Jose Ignacio Cogolludo-Agustín, Anatoly Libgober -- Analytic continuation of a parametric polytope and wall-crossing / Nicole Berline, Michèle Vergne -- Embeddings of braid groups into mapping class groups and their homology / Carl-Friedrich Bödigheimer, Ulrike Tillmann -- The cohomology of the braid group B 3 and of SL 2(Z) with coefficients in a geometric representation / Filippo Callegaro, Frederick R. Cohen, Mario Salvetti -- Pure braid groups are not residually free / Daniel C. Cohen, Michael Falk, Richard Randell -- Hodge-Deligne equivariant polynomials and monodromy of hyperplane arrangements / Alexandru Dimca, Gus Lehrer -- The contravariant form on singular vectors of a projective arrangement / Michael J. Falk, Alexander N. Varchenko -- Fox-Neuwirth cell structures and the cohomology of symmetric groups / Chad Giusti, Dev Sinha -- Basic questions on Artin-Tits groups / Eddy Godelle, Luis Paris -- Rational cohomology of the real Coxeter toric variety of type A / Anthony Henderson -- Arrangements stable under the Coxeter groups / Hidehiko Kamiya, Akimichi Takemura, Hiroaki Terao -- Quantum and homological representations of braid groups / Toshitake Kohno -- Cohomology of the complement to an elliptic arrangement / Andrey Levin, Alexander Varchenko -- Residual nilpotence for generalizations of pure braid groups / Ivan Marin -- Some topological problems on the configuration spaces of Artin and Coxeter groups / Davide Moroni, Mario Salvetti, Andrea Villa -- Chromatic quasisymmetric functions and Hessenberg varieties / John Shareshian, Michelle L. Wachs -- Geometric and homological finiteness in free abelian covers / Alexander I. Suciu -- Minimal stratifications for line arrangements and positive homogeneous presentations for fundamental groups / Masahiko Yoshinaga
On the structure of spaces of commuting elements in compact Lie groups -- On the fundamental group of the complement of two real tangent conics and an arbitrary number of real tangent lines -- Intersection cohomology of a rank one local system on the complement of a hyperplane-like divisor -- Characters of fundamental groups of curve complements and orbifold pencils -- A survey of some recent results concerning polyhedral products -- Analytic continuation of a parametric polytope and wall-crossing -- Embeddings of braid groups into mapping class groups and their homology -- The cohomology of the braid group B3 and of SL2(Z) with coefficients in a geometric representation -- Pure braid groups are not residually free -- HodgeDeligne equivariant polynomials and monodromy of hyperplane arrangements -- The contravariant form on singular vectors of a projective arrangement -- FoxNeuwirth cell structures and the cohomology of symmetric groups -- Basic questions on ArtinTits groups -- Rational cohomology of the real Coxeter toric variety of type A -- Arrangements stable under the Coxeter groups -- Quantum and homological representations of braid groups -- Cohomology of the complement to an elliptic arrangement -- Residual nilpotence for generalizations of pure braid groups -- Some topological problems on the configuration spaces of Artin and Coxeter groups -- Chromatic quasisymmetric functions and Hessenberg varieties -- Geometric and homological finiteness in free abelian covers -- Minimal stratifications for line arrangements and positive homogeneous presentations for fundamental groups
Summary These proceedings contain the contributions of some of the participants in the "intensive research period" held at the De Giorgi Research Center in Pisa, during the period May-June 2010. The central theme of this research period was the study of configuration spaces from various points of view. This topic originated from the intersection of several classical theories: Braid groups and related topics, configurations of vectors (of great importance in Lie theory and representation theory), arrangements of hyperplanes and of subspaces, combinatorics, singularity theory. Recently, however, configuration spaces have acquired independent interest and indeed the contributions in this volume go far beyond the above subjects, making it attractive to a large audience of mathematicians
Bibliography Includes bibliographical references
Notes Online resource; title from PDF title page (EBSCO, viewed March 23, 2016)
Subject Configuration space -- Congresses
MATHEMATICS -- Geometry -- General.
Configuration space.
Genre/Form Conference papers and proceedings.
Conference papers and proceedings.
Actes de congrès.
Form Electronic book
Author Björner, Anders, editor.
Cohen, Fred, editor
De Concini, Corrado, editor
Procesi, Claudio, editor.
Salvetti, Mario, editor
ISBN 9788876424311
8876424318