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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Titolo Cohomology of Finite and Affine Type Artin Groups over Abelian Representations
Autore Filippo Callegaro
Editing/translation No
ISBN 978-88-7642-345-1
Anno di pubblicazione 2009
Oggetto Matematica e storia della matematica
Link acquista http://www.springer.com/birkhauser/mathematics/scuola+normale+superiore/book/978-88-7642-345-1
Notes No

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