Handle decompositions and Kirby diagrams for the complement of plane algebraic curves
Geometric Topology
2026-04-24 v3 Algebraic Geometry
Abstract
The complement of plane algebraic curves are well studied from topological and algebro-geometric viewpoints. In this paper, we will describe the explicit handle decompositions and the Kirby diagrams for the complement of plane algebraic curves. The method is based on the notion of braid monodromy. We refined this technique to obtain handle decompositions and Kirby diagrams.
Keywords
Cite
@article{arxiv.2306.10519,
title = {Handle decompositions and Kirby diagrams for the complement of plane algebraic curves},
author = {Sakumi Sugawara},
journal= {arXiv preprint arXiv:2306.10519},
year = {2026}
}
Comments
23 pages, 31 figures