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

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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:
CreatorsEmailORCIDORCID Put Code
Cha, Jae ChoonUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Friedl, StefanUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Powell, MarkUNSPECIFIEDorcid.org/0000-0002-4086-8758UNSPECIFIED
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
Uncontrolled Keywords:
KeywordsLanguage
UNLINKING; HOMOLOGYMultiple languages
MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/22349

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