Baader, S. and Banfield, I. and Lewark, L. (2020) Untwisting 3-strand torus knots. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 52 (3). pp. 429-436. ISSN 0024-6093, 1469-2120
Full text not available from this repository. (Request a copy)Abstract
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: | Article |
|---|---|
| Uncontrolled Keywords: | SURFACES; 57M25 |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 26 Mar 2021 09:40 |
| Last Modified: | 26 Mar 2021 09:40 |
| URI: | https://pred.uni-regensburg.de/id/eprint/44720 |
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