Cohomology of Finite and Affine Type Artin Groups over Abelian Representation
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
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
Autor*in
Filippo Callegaro