Cohomology of Finite and Affine Type Artin Groups Over Abelian Representation Contributor(s): Callegaro, Filippo (Author) |
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ISBN: 8876423451 ISBN-13: 9788876423451 Publisher: Edizioni Della Normale OUR PRICE: $23.70 Product Type: Paperback Published: August 2009 Annotation: 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. |
Additional Information |
BISAC Categories: - Mathematics | Group Theory - Mathematics | Topology - General |
Dewey: 512 |
Physical Information: 0.5" H x 5.9" W x 9.4" (0.75 lbs) 170 pages |