Cha, Jae Choon, Friedl, Stefan and Powell, Mark ORCID: 0000-0002-4086-8758 (2017). SPLITTING NUMBERS OF LINKS. Proc. Edinb. Math. Soc., 60 (3). S. 587 - 615. NEW YORK: CAMBRIDGE UNIV PRESS. ISSN 1464-3839
Full text not available from this repository.Abstract
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: | Journal Article | ||||||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-223496 | ||||||||||||||||
DOI: | 10.1017/S0013091516000420 | ||||||||||||||||
Journal or Publication Title: | Proc. Edinb. Math. Soc. | ||||||||||||||||
Volume: | 60 | ||||||||||||||||
Number: | 3 | ||||||||||||||||
Page Range: | S. 587 - 615 | ||||||||||||||||
Date: | 2017 | ||||||||||||||||
Publisher: | CAMBRIDGE UNIV PRESS | ||||||||||||||||
Place of Publication: | NEW YORK | ||||||||||||||||
ISSN: | 1464-3839 | ||||||||||||||||
Language: | English | ||||||||||||||||
Faculty: | Unspecified | ||||||||||||||||
Divisions: | Unspecified | ||||||||||||||||
Subjects: | no entry | ||||||||||||||||
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Refereed: | Yes | ||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/22349 |
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