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Configuration Spaces

Geometry, Combinatorics and Topology

  • Conference proceedings
  • © 2012

Overview

Editors:
  1. A. Bjorner
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  2. F. Cohen
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  3. C. Concini
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  4. C. Procesi
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  5. M. Salvetti
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  • High-level contributions
  • Covers many topics important for several different theories
  • Of interest to a wide variety of mathematicians

Part of the book series: Publications of the Scuola Normale Superiore (PSNS, volume 14)

Part of the book sub series: CRM Series (CRMSNS)

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Table of contents (22 papers)

  1. Front Matter

    Pages i-xxii
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  2. On the structure of spaces of commuting elements in compact Lie groups

    • Alejandro Adem, José Manuel Gómez
    Pages 1-26

  3. 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
    Pages 27-48

  4. Intersection cohomology of a rank one local system on the complement of a hyperplane-like divisor

    • Dimitry Arinkin, Alexander Varchenko
    Pages 49-53

  5. A survey of some recent results concerning polyhedral products

    • Anthony P. Bahri, Martin Bendersky, Frederick R. Cohen, Samuel Gitler
    Pages 55-80

  6. Characters of fundamental groups of curve complements and orbifold pencils

    • Enrique Artal Bartolo, Jose Ignacio Cogolludo-Agustín, Anatoly Libgober
    Pages 81-109

  7. Analytic continuation of a parametric polytope and wall-crossing

    • Nicole Berline, Michèle Vergne
    Pages 111-172

  8. Embeddings of braid groups into mapping class groups and their homology

    • Carl-Friedrich Bödigheimer, Ulrike Tillmann
    Pages 173-191

  9. 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
    Pages 193-211

  10. Pure braid groups are not residually free

    • Daniel C. Cohen, Michael Falk, Richard Randell
    Pages 213-230

  11. Hodge-Deligne equivariant polynomials and monodromy of hyperplane arrangements

    • Alexandru Dimca, Gus Lehrer
    Pages 231-253

  12. The contravariant form on singular vectors of a projective arrangement

    • Michael J. Falk, Alexander N. Varchenko
    Pages 255-272

  13. Fox-Neuwirth cell structures and the cohomology of symmetric groups

    • Chad Giusti, Dev Sinha
    Pages 273-298

  14. Basic questions on Artin-Tits groups

    • Eddy Godelle, Luis Paris
    Pages 299-311

  15. Rational cohomology of the real Coxeter toric variety of type A

    • Anthony Henderson
    Pages 313-326

  16. Arrangements stable under the Coxeter groups

    • Hidehiko Kamiya, Akimichi Takemura, Hiroaki Terao
    Pages 327-354

  17. Quantum and homological representations of braid groups

    • Toshitake Kohno
    Pages 355-372

  18. Cohomology of the complement to an elliptic arrangement

    • Andrey Levin, Alexander Varchenko
    Pages 373-388

  19. Residual nilpotence for generalizations of pure braid groups

    • Ivan Marin
    Pages 389-401

  20. Some topological problems on the configuration spaces of Artin and Coxeter groups

    • Davide Moroni, Mario Salvetti, Andrea Villa
    Pages 403-431
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About this book

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.

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