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Splitting Numbers of Links by Cha, Jae Choon; Friedl, Stefan; Powell, Mark is a scholarly article available to read on EtoBox.

What is Splitting Numbers of Links about?

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 9 or fewer crossings. Also, with these techniques, we either reprove or improve upon the lower bounds for splitting numbers of links computed by J. Batson and C. Seed using Khovanov homology.

Author

Cha, Jae Choon; Friedl, Stefan; Powell, Mark

Published

2013

Language

EN