A note on thickness of knots

Abstract

We introduce a numerical invariant β(K) of a knot K which measures how non-alternating K is. We prove an inequality between β(K) and the (knot Floer) thickness of K. As an application we show that all Montesinos knots have thickness at most one.

7 pages, 5 figures

References in corpus (2)

• The Jones polynomial and graphs on surfaces
• On symmetries of peculiar modules; or, $\delta$-graded link Floer homology is mutation invariant