Resonant bands, Aomoto complex, and real 4-nets
Algebraic Geometry
2019-02-19 v3 Combinatorics
General Topology
Geometric Topology
Abstract
The resonant band is a useful notion for the computation of the nontrivial monodromy eigenspaces of the Milnor fiber of a real line arrangement. In this article, we develop the resonant band description for the cohomology of the Aomoto complex. As an application, we prove that real 4-nets do not exist.
Cite
@article{arxiv.1404.5014,
title = {Resonant bands, Aomoto complex, and real 4-nets},
author = {Michele Torielli and Masahiko Yoshinaga},
journal= {arXiv preprint arXiv:1404.5014},
year = {2019}
}
Comments
23 pages, 7 figures