Cohomology of Finite and Affine Type Artin Groups over Abelian Representation

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. This book describes the cohomology for Artin groups of type A and B and for affine Artin groups.

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

Inhalt

1. Coxeter groups and arrangement.- 2. Group cohomology and local systems.- 3. Topology of arrangements.- 4. The integral homology of the Milnor fiber for Artin groups of type A.- 5. The integral homology of the Milnor fiber for Artin groups of type B.- 6. Affine arrangements of type A.- 7. Affine arrangements of type B.