On the Milnor monodromy of the irreducible complex reflection arrangements

Alexandru Dimca

On the Milnor monodromy of the irreducible complex reflection arrangements

Algebraic Geometry 2016-06-23 v2 Algebraic Topology Group Theory

Authors: Alexandru Dimca

Abstract

Using recent results by A. Macinic, S. Papadima and R. Popescu, and a refinement of an older construction of ours, we determine the monodromy action on $H^1(F(G),C)$ , where $F(G)$ denotes the Milnor fiber of a hyperplane arrangement associated to an irreducible complex reflection group $G$ .

Keywords

Milnor monodromy complex reflection arrangements Milnor fiber hyperplane arrangement monodromy action

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@article{arxiv.1606.04048,
  title  = {On the Milnor monodromy of the irreducible complex reflection arrangements},
  author = {Alexandru Dimca},
  journal= {arXiv preprint arXiv:1606.04048},
  year   = {2016}
}

Comments

v2. We add the statement for the reflection arrangement associated to the exceptional group $G_{31}$ and send to our preprint arXiv: 1606.06615 for a proof along completely different lines

On the Milnor monodromy of the irreducible complex reflection arrangements

Abstract

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