Jae Choon Cha
Splitting Numbers of Links
Cha, Jae Choon; Friedl, Stefan; Powell, Mark
Authors
Stefan Friedl
Mark Powell
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 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.
Citation
Cha, J. C., Friedl, S., & Powell, M. (2017). Splitting Numbers of Links. Proceedings of the Edinburgh Mathematical Society, 60(03), 587-614. https://doi.org/10.1017/s0013091516000420
Journal Article Type | Article |
---|---|
Online Publication Date | Jan 3, 2017 |
Publication Date | Aug 1, 2017 |
Deposit Date | Oct 3, 2017 |
Publicly Available Date | Oct 4, 2017 |
Journal | Proceedings of the Edinburgh Mathematical Society |
Print ISSN | 0013-0915 |
Electronic ISSN | 1464-3839 |
Publisher | Cambridge University Press |
Peer Reviewed | Peer Reviewed |
Volume | 60 |
Issue | 03 |
Pages | 587-614 |
DOI | https://doi.org/10.1017/s0013091516000420 |
Public URL | https://durham-repository.worktribe.com/output/1375141 |
Related Public URLs | https://arxiv.org/abs/1308.5638 |
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Copyright Statement
This article has been published in a revised form in Proceedings of the Edinburgh Mathematical Society https://doi.org/10.1017/S0013091516000420. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © Edinburgh Mathematical Society 2017.
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