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On slice alternating
3-braid closures
Vitalijs Brejevs |
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Vol. 324 (2023), No. 1, 49–70
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DOI: 10.2140/pjm.2023.324.49
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Abstract |
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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
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Mathematical Subject Classification
Primary: 57K10, 57K14
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Milestones
Received: 9 June 2022
Accepted: 13 September 2022
Published: 22 June 2023
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Authors |
| Vitalijs Brejevs | |
| School of Mathematics and
Statistics University of Glasgow Glasgow United Kingdom |
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| © 2023 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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