Divides with cusps and Kirby diagrams for line arrangements
Geometric Topology
2021-07-06 v2 Combinatorics
Abstract
The complement of a complexified real line arrangement is an affine surface. It is classically known that such a space has a handle decomposition up to -handles. We will describe the handle decomposition induced from Lefschetz hyperplane section theorem for such a space. To describe the Kirby diagram, we introduce the notion of the divide with cusps which is a generalization of the divide introduced by A'Campo.
Keywords
Cite
@article{arxiv.2103.15262,
title = {Divides with cusps and Kirby diagrams for line arrangements},
author = {Sakumi Sugawara and Masahiko Yoshinaga},
journal= {arXiv preprint arXiv:2103.15262},
year = {2021}
}
Comments
18 pages, 26 figures