On the Cosmetic Crossing Conjecture for Special Alternating Links
Geometric Topology
2024-12-17 v2
Abstract
We prove that a family of links, which includes all special alternating knots, does not admit non-nugatory crossing changes which preserve the isotopy type of the link. Our proof incorporates a result of Lidman and Moore on crossing changes to knots with -space branched double-covers, as well as tools from Scharlemann and Thompon's proof of the cosmetic crossing conjecture for the unknot.
Keywords
Cite
@article{arxiv.2302.12236,
title = {On the Cosmetic Crossing Conjecture for Special Alternating Links},
author = {Joe Boninger},
journal= {arXiv preprint arXiv:2302.12236},
year = {2024}
}
Comments
Some corrections and additions, now 7 pages and 3 figures