Khovanov width and dealternation number of positive braid links

Baader, Sebastian and Feller, Peter and Lewark, Lukas and Zentner, Raphael (2019) Khovanov width and dealternation number of positive braid links. MATHEMATICAL RESEARCH LETTERS, 26 (3). pp. 627-641. ISSN 1073-2780, 1945-001X

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Abstract

We give asymptotically sharp upper bounds for the Khovanov width and the dealternation number of positive braid links, in terms of their crossing number. The same braid-theoretic technique, combined with Ozsvath, Stipsicz, and Szabo's Upsilon invariant, allows us to determine the exact cobordism distance between torus knots with braid index two and six.

Item Type: Article
Uncontrolled Keywords: COBORDISMS; HOMOLOGY; INDEX; KNOTS;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 27 Apr 2020 09:26
Last Modified: 27 Apr 2020 09:26
URI: https://pred.uni-regensburg.de/id/eprint/27773

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