A note on knot Floer thickness and the dealternating number
Geometric Topology
2022-05-18 v1
Abstract
In this note, we give a short proof that knot Floer thickness is a lower bound on the dealternating number of a knot. The result is originally due to work of Abe and Kishimoto, Lowrance, and Turaev. Our proof is a modification of the Stipsicz-Szabo approach using Kauffman states to show that thickness bounds the minimal number of bad domains in a knot diagram.
Keywords
Cite
@article{arxiv.2205.08097,
title = {A note on knot Floer thickness and the dealternating number},
author = {Linh Truong},
journal= {arXiv preprint arXiv:2205.08097},
year = {2022}
}
Comments
5 pages, 1 figure