Hyperplane arrangements and Milnor fibrations
Algebraic Geometry
2014-10-14 v2 Combinatorics
Geometric Topology
Abstract
There are several topological spaces associated to a complex hyperplane arrangement: the complement and its boundary manifold, as well as the Milnor fiber and its own boundary. All these spaces are related in various ways, primarily by a set of interlocking fibrations. We use cohomology with coefficients in rank 1 local systems on the complement of the arrangement to gain information on the homology of the other three spaces, and on the monodromy operators of the various fibrations.
Cite
@article{arxiv.1301.4851,
title = {Hyperplane arrangements and Milnor fibrations},
author = {Alexander I. Suciu},
journal= {arXiv preprint arXiv:1301.4851},
year = {2014}
}
Comments
52 pages, 7 figures; accepted for publication in the Annales de la Facult\'e des Sciences de Toulouse