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arXiv · 2504.17637

On the negative band number

Michele Capovilla-Searle·Tetsuya Ito·Keiko Kawamuro·Rebecca Sorsen
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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.

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Michele Capovilla-Searle, Tetsuya Ito, Keiko Kawamuro, Rebecca Sorsen. 2025-04-24. On the negative band number. https://arxiv.org/abs/2504.17637

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