Feller, Peter and Pohlmann, Simon and Zentner, Raphael (2018) Alternation Numbers of Torus Knots with Small Braid Index. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 67 (2). pp. 645-655. ISSN 0022-2518, 1943-5258
Full text not available from this repository. (Request a copy)Abstract
We calculate the alternation number of torus knots with braid index 4 and less. For the lower bound, we use the Upsilon-invariant recently introduced by Ozsvath, Stipsicz, and Szabo. For the upper bound, we use a known bound for braid index 3 and a new bound for braid index 4. Both bounds coincide, so that we obtain a sharp result.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | KHOVANOV HOMOLOGY; FLOER HOMOLOGY; Torus knots; alternation number; alternating number; dealternating number; upsilon-invariant |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Mar 2020 13:40 |
| Last Modified: | 23 Mar 2020 13:40 |
| URI: | https://pred.uni-regensburg.de/id/eprint/15395 |
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