On the negative band number
Geometric Topology
2025-04-25 v1
Abstract
We study the negative band number of braids, knots, and links using Birman, Ko, and Lee's left-canonical form of a braid. As applications, we characterize up to conjugacy strongly quasipositive braids and almost strongly quasipositive braids.
Keywords
Cite
@article{arxiv.2504.17637,
title = {On the negative band number},
author = {Michele Capovilla-Searle and Tetsuya Ito and Keiko Kawamuro and Rebecca Sorsen},
journal= {arXiv preprint arXiv:2504.17637},
year = {2025}
}
Comments
25 pages, 9 figures