On the negative band number

Michele Capovilla-Searle; Tetsuya Ito; Keiko Kawamuro; Rebecca Sorsen

doi:10.48550/arxiv.2504.17637

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On the negative band number

Michele Capovilla-Searle, Tetsuya Ito, Keiko Kawamuro and Rebecca Sorsen

ArXiV.org

Cornell University

04/24/2025

DOI: 10.48550/arxiv.2504.17637

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Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

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.

Mathematics - Geometric Topology

Details

Title: Subtitle: On the negative band number
Creators: Michele Capovilla-Searle - University of Iowa
Tetsuya Ito - Kyoto University
Keiko Kawamuro - University of Iowa
Rebecca Sorsen
Resource Type: Preprint
Publication Details: ArXiV.org
DOI: 10.48550/arxiv.2504.17637
ISSN: 2331-8422
Publisher: Cornell University; Ithaca, New York
Language: English
Date posted: 04/24/2025
Academic Unit: Mathematics
Record Identifier: 9984813297302771

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