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 hyperplanelike 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 CogolludoAgustín, Anatoly Libgober  Analytic continuation of a parametric polytope and wallcrossing / Nicole Berline, Michèle Vergne  Embeddings of braid groups into mapping class groups and their homology / CarlFriedrich 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  HodgeDeligne 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  FoxNeuwirth cell structures and the cohomology of symmetric groups / Chad Giusti, Dev Sinha  Basic questions on ArtinTits 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 hyperplanelike 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 wallcrossing  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 MayJune 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.


Geometría


Topología


Configuration space

Genre/Form 
proceedings (reports)


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 
