On the Negative Band Number

The Quarterly Journal of Mathematics 2026 Open access

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Authors: Michele Capovilla-Searle, Tetsuya Ito, Keiko Kawamuro, Rebecca Sorsen
DOI: 10.1093/qmath/haag017
Cited by: 0

Abstract

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.

Fields of Study & Subjects

semigroups and automata theory

Publication details

Journal / source
The Quarterly Journal of Mathematics
Volume
77
Issue
3
Pages
553–573
Publication date
22 May 2026
Language
EN