A note on thickness of knots
Geometric Topology
2022-11-02 v1
Abstract
We introduce a numerical invariant \beta(K) of a knot K which measures how non-alternating K is. We prove an inequality between \beta (K) and the (knot Floer) thickness of K. As an application we show that all Montesinos knots have thickness at most one.
Keywords
Cite
@article{arxiv.2010.04967,
title = {A note on thickness of knots},
author = {Andras I. Stipsicz and Zoltan Szabo},
journal= {arXiv preprint arXiv:2010.04967},
year = {2022}
}
Comments
7 pages, 5 figures