Configuration spaces : geometry, combinatorics and topology / edited by A. Björner, F. Cohen, C. De Concini, C. Procesi, M. Salvetti.

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...

Full description

Saved in:
Bibliographic Details
Online Access: Full Text (via Springer)
Other Authors: Björner, Anders (Editor), Cohen, Fred (Editor), De Concini, Corrado (Editor), Procesi, Claudio (Editor), Salvetti, Mario (Editor)
Format: eBook
Language:English
Published: Pisa : Edizioni della Normale, [2012]
Series:CRM series (Pisa, Italy) ; 14.
Subjects:
Table of 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.