The homology of the Milnor fiber for classical braid groups

Abstract

In this paper we compute the homology of the braid groups, with coefficients in the module Z[q^+-1] given by the ring of Laurent polynomials with integer coefficients and where the action of the braid group is defined by mapping each generator of the standard presentation to multiplication by -q. The homology thus computed is isomorphic to the homology with constant coefficients of the Milnor fiber of the discriminantal singularity.

This is the version published by Algebraic & Geometric Topology on 14 November 2006

References in corpus (2)

• Homology of iterated semidirect products of free groups
• The stable braid group and the determinant of the Burau representation

Cited by in corpus (7)

• Braid groups and Artin groups
• Weighted sheaves and homology of Artin groups
• Some topological problems on the configuration spaces of Artin and Coxeter groups
• The stable braid group and the determinant of the Burau representation
• The Cohomology Ring of the Space of Rational Functions
• On the local homology of Artin groups of finite and affine type
• Non-crossing partitions and Milnor fibers