English

Homology computations for complex braid groups II

Group Theory 2016-05-24 v1

Abstract

We complete the computation of the integral homology of the generalized braid group BB associated to an arbitrary irreducible complex reflection group WW of exceptional type. In order to do this we explicitely computed the recursively-defined differential of a resolution of Z\mathbf{Z} as a ZB\mathbf{Z} B-module, using parallel computing. We also deduce from this general computation the rational homology of the Milnor fiber of the singularity attached to most of these reflection groups.

Keywords

Cite

@article{arxiv.1605.06953,
  title  = {Homology computations for complex braid groups II},
  author = {Ivan Marin},
  journal= {arXiv preprint arXiv:1605.06953},
  year   = {2016}
}
R2 v1 2026-06-22T14:07:04.934Z