Splitting numbers of links
Geometric Topology
2013-08-27 v1
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.
Keywords
Cite
@article{arxiv.1308.5638,
title = {Splitting numbers of links},
author = {Jae Choon Cha and Stefan Friedl and Mark Powell},
journal= {arXiv preprint arXiv:1308.5638},
year = {2013}
}
Comments
26 pages, 17 figures, 3 tables