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On slice alternating 3-braid closures

Vitalijs Brejevs

Vol. 324 (2023), No. 1, 49–70
DOI: 10.2140/pjm.2023.324.49
Abstract

We construct ribbon surfaces of Euler characteristic one for several infinite families of alternating 3-braid closures. We also use a twisted Alexander polynomial obstruction to conclude the classification of smoothly slice knots which are closures of alternating 3-braids with up to 20 crossings.

Keywords
3-braids, slice-ribbon conjecture, twisted Alexander polynomials
Mathematical Subject Classification
Primary: 57K10, 57K14
Milestones
Received: 9 June 2022
Accepted: 13 September 2022
Published: 22 June 2023
Authors
Vitalijs Brejevs
School of Mathematics and Statistics
University of Glasgow
Glasgow
United Kingdom

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