Cha, Jae Choon and Friedl, Stefan and Powell, Mark (2017) SPLITTING NUMBERS OF LINKS. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 60 (3). pp. 587-614. ISSN 0013-0915, 1464-3839
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The splitting number of a link is the minimal number of crossing changes between different components required, on any diagram, to convert it to a split link. We introduce new techniques to compute the splitting number, involving covering links and Alexander invariants. As an application, we completely determine the splitting numbers of links with nine or fewer crossings. Also, with these techniques, we either reprove or improve upon the lower bounds for splitting numbers of links computed by Batson and Seed using Khovanov homology.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | UNLINKING; HOMOLOGY; splitting numbers of links; covering links; Alexander polynomial |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Stefan Friedl |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:16 |
| Last Modified: | 25 Feb 2019 18:45 |
| URI: | https://pred.uni-regensburg.de/id/eprint/1481 |
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