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Splitting Numbers of Links

URN to cite this document:
urn:nbn:de:bvb:355-epub-393197
DOI to cite this document:
10.5283/epub.39319
Cha, Jae Choon ; Friedl, Stefan ; Powell, Mark
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Date of publication of this fulltext: 20 Mar 2019 13:03



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 ...

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