Overview
- A resume of several results and costructions on braid cohomology is provided
- Original results with explicit cohomology descriptions are given
- A useful bibliography on braid cohomology
Part of the book series: Publications of the Scuola Normale Superiore (PSNS, volume 13)
Part of the book sub series: Theses (Scuola Normale Superiore) (TSNS)
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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.
Authors and Affiliations
Bibliographic Information
Book Title: Cohomology of Finite and Affine Type Artin Groups over Abelian Representation
Authors: Filippo Callegaro
Series Title: Publications of the Scuola Normale Superiore
Publisher: Edizioni della Normale Pisa
Copyright Information: Edizioni della Normale 2009
Softcover ISBN: 978-88-7642-345-1Due: 03 August 2009
Series ISSN: 2239-1460
Series E-ISSN: 2532-1668
Edition Number: 1
Number of Pages: 170