A note on knot Floer thickness and the dealternating number

Linh Truong

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arXiv · 2205.08097

A note on knot Floer thickness and the dealternating number

Linh Truong

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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.

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Linh Truong. 2022-05-17. A note on knot Floer thickness and the dealternating number. https://arxiv.org/abs/2205.08097

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