Liechti, Nicola Livio (2016). Positive braid knots of maximal topological 4-genus. Mathematical proceedings of the Cambridge Philosophical Society, 161(3), pp. 559-568. Cambridge University Press 10.1017/S0305004116000670
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We show that a positive braid knot has maximal topological 4-genus exactly if it has maximal signature invariant. As an application, we determine all positive braid knots with maximal topological 4-genus and compute the topological 4-genus for all positive braid knots with up to 12 crossings.
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: |
Liechti, Nicola Livio |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0305-0041 |
Publisher: |
Cambridge University Press |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
12 Jul 2017 10:19 |
Last Modified: |
05 Dec 2022 15:04 |
Publisher DOI: |
10.1017/S0305004116000670 |
BORIS DOI: |
10.7892/boris.98655 |
URI: |
https://boris.unibe.ch/id/eprint/98655 |
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