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Theses (Scuola Normale Superiore)

Cohomology of Finite and Affine Type Artin Groups over Abelian Representation

Authors: Callegaro, Filippo

  • Provides a resume of several results of constructions on braid cohomology
  • Gives original results with explicit cohomology descriptions
  • Includes a useful bibliography on braid cohomology
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  • ISBN 978-88-7642-345-1
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About this book

The classical theory of braids is deeply connected with the theory of reflection groups and there are many relations between Artin groups and Coxeter groups. It turns out that the classifying spaces of Artin groups of finite type are affine varieties, the complement of the singularities associated to Coxeter groups.

In order to study the topology of the Milnor fiber of these non-isolated singularities together with the monodromy action it is useful to compute the cohomology of the Artin groups with coefficients in an abelian representation.

In this book a description of this cohomology for Artin groups of type A and B and for affine Artin groups of the same type is given.

Buy this book

Softcover $24.95
price for USA
  • ISBN 978-88-7642-345-1
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.

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Bibliographic Information

Bibliographic Information
Book Title
Cohomology of Finite and Affine Type Artin Groups over Abelian Representation
Authors
Series Title
Theses (Scuola Normale Superiore)
Series Volume
13
Copyright
2009
Publisher
Edizioni della Normale
Copyright Holder
Edizioni della Normale
Softcover ISBN
978-88-7642-345-1
Edition Number
1
Number of Pages
170
Topics