On the Negative Band Number

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

doi:10.1093/qmath/haag017

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On the Negative Band Number

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

Quarterly journal of mathematics, Vol.77(3), pp.553-573

06/13/2026

DOI: 10.1093/qmath/haag017

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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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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 - College of Saint Mary
Resource Type: Journal article
Publication Details: Quarterly journal of mathematics, Vol.77(3), pp.553-573
DOI: 10.1093/qmath/haag017
ISSN: 0033-5606
eISSN: 1464-3847
Publisher: Oxford University Press; OXFORD
Grant note: NSF: DMS-2038103, DMS2005450 JSPS: 21H04428, 23K03110, 25H00588
M.C.-S. was partially supported by LLMJ fellowship and NSF DMS-2038103. T.I. was partially supported by JSPS KAKENHI Grant Numbers 21H04428, 23K03110 and 25H00588. K.K. was partially supported by NSF DMS2005450. R.S. was partially supported by NSF DMS-2038103.
Language: English
Electronic publication date: 06/13/2026
Academic Unit: Mathematics
Record Identifier: 9985179853702771

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