The homology of the Milnor fiber for classical braid groups

Details The homology of the Milnor fiber for classical braid groups The homology of the Milnor fiber for classical braid groups

2005-11-17

arxiv.org/abs/math/0511453v3

Algebr. Geom. Topol. 6 (2006) 1903-1923

Mathematics

Algebraic Topology

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

Scientific paper

10.2140/agt.2006.6.1903

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.

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