Feller, Peter; Lewark, Lukas; Lobb, Andrew (2023). Almost positive links are strongly quasipositive. Mathematische Annalen, 385(1-2), pp. 481-510. Springer 10.1007/s00208-021-02328-x
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We prove that any link admitting a diagram with a single negative crossing is strongly quasipositive. This answers a question of Stoimenow's in the (strong) positive. As a second main result, we give a simple and complete characterization of link diagrams with quasipositive canonical surface (the surface produced by Seifert's algorithm). As applications, we determine which prime knots up to 13 crossings are strongly quasipositive, and we confirm the following conjecture for knots that have a canonical surface realizing their genus: a knot is strongly quasipositive if and only if the Bennequin inequality is an equality.
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: |
Lewark, Lukas Pascal |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0025-5831 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Pubmed Import |
Date Deposited: |
07 Feb 2023 11:24 |
Last Modified: |
08 Feb 2023 15:17 |
Publisher DOI: |
10.1007/s00208-021-02328-x |
PubMed ID: |
36744241 |
Uncontrolled Keywords: |
57M25 |
BORIS DOI: |
10.48350/178435 |
URI: |
https://boris.unibe.ch/id/eprint/178435 |
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