Cohomology of Finite and Affine Type Artin Groups over Abelian Representations Zoom

Filippo Callegaro

Cohomology of Finite and Affine Type Artin Groups over Abelian Representations

pp. xix-137

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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

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Title Cohomology of Finite and Affine Type Artin Groups over Abelian Representations
Author (display) Filippo Callegaro
Editing/translations No
ISBN 978-88-7642-345-1
Publishing year 2009
Subject Matematica e storia della matematica
Buy link http://www.springer.com/birkhauser/mathematics/scuola+normale+superiore/book/978-88-7642-345-1
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