Baader, Sebastian; Feller, Peter; Lewark, Lukas Pascal; Liechti, Nicola Livio (2018). On the topological 4-genus of torus knots. Transactions of the American Mathematical Society, 370(4), pp. 2639-2656. American Mathematical Society 10.1090/tran/7051
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We prove that the topological locally flat slice genus of large torus knots takes up less than three quarters of the ordinary genus. As an application, we derive the best possible linear estimate of the topological slice genus for torus knots with non-maximal signature invariant.
Item Type: |
Journal Article (Original Article) |
---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Baader, Sebastian, Feller, Peter, Lewark, Lukas Pascal, Liechti, Nicola Livio |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0002-9947 |
Publisher: |
American Mathematical Society |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
25 Apr 2019 17:26 |
Last Modified: |
05 Dec 2022 15:25 |
Publisher DOI: |
10.1090/tran/7051 |
BORIS DOI: |
10.7892/boris.125473 |
URI: |
https://boris.unibe.ch/id/eprint/125473 |