JSJ decomposition for handlebody-knots
Geometric Topology
2023-02-01 v2
Abstract
The paper applies the JSJ decomposition and Koda-Ozawa's annulus classification to analyze the annulus configuration in a handlebody-knot exterior. We introduce the notion of the annulus diagram, to pack the configuration into a labeled graph, and classify genus two handlebody-knots in terms of their annulus diagrams. Applications to handlebody-knot symmetries are discussed; methods to produce handlebody-knots with various types of annulus diagrams are also presented.
Cite
@article{arxiv.2205.03547,
title = {JSJ decomposition for handlebody-knots},
author = {Yi-Sheng Wang},
journal= {arXiv preprint arXiv:2205.03547},
year = {2023}
}
Comments
28 pages, 12 figures; section reordered for better flow, introduction revised with two corrections in corollaries 1.3, 1.4 of v1 (Corollaries 1.2, 1.3 in v2) made, typos corrected