A note on knot Floer thickness and the dealternating number

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-Szabó approach using Kauffman states to show that thickness bounds the minimal number of bad domains in a knot diagram.