Links with splitting number one
Geometric Topology
2021-03-02 v2
Abstract
We provide an algorithm to determine whether a link L admits a crossing change that turns it into a split link, under some fairly mild hypotheses on L. The algorithm also provides a complete list of all such crossing changes. It can therefore also determine whether the unlinking number of L is 1.
Cite
@article{arxiv.1808.05495,
title = {Links with splitting number one},
author = {Marc Lackenby},
journal= {arXiv preprint arXiv:1808.05495},
year = {2021}
}
Comments
38 pages, 13 figures, accepted for publication in Geometriae Dedicata