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arXiv · 1605.06953

Homology computations for complex braid groups II

Ivan Marin
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Abstract

We complete the computation of the integral homology of the generalized braid group $B$ associated to an arbitrary irreducible complex reflection group $W$ of exceptional type. In order to do this we explicitely computed the recursively-defined differential of a resolution of $\mathbf{Z}$ as a $\mathbf{Z} B$-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.

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Ivan Marin. 2016-05-23. Homology computations for complex braid groups II. https://arxiv.org/abs/1605.06953

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