Baader, Sebastian; Banfield, Ian; Lewark, Lukas (2020). Untwisting 3-strand torus knots. Bulletin of the London Mathematical Society, 52(3), pp. 429-436. Wiley 10.1112/blms.12335
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We prove that the signature bound for the topological 4‐genus of 3‐strand torus knots is sharp, using McCoy's twisting method. We also show that the bound is off by at most 1 for 4‐strand and 6‐strand torus knots, and improve the upper bound on the asymptotic ratio between the topological 4‐genus and the Seifert genus of torus knots from 2/3 to 14/27.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Baader, Sebastian |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0024-6093 |
Publisher: |
Wiley |
Funders: |
Organisations 178756 not found.; [UNSPECIFIED] Emmy Noether Programme of the DFG |
Language: |
English |
Submitter: |
Sebastiano Don |
Date Deposited: |
18 Jan 2021 09:06 |
Last Modified: |
05 Dec 2022 15:45 |
Publisher DOI: |
10.1112/blms.12335 |
ArXiv ID: |
1909.01003 |
Uncontrolled Keywords: |
57M25 |
BORIS DOI: |
10.48350/151213 |
URI: |
https://boris.unibe.ch/id/eprint/151213 |
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