The Jones polynomial of parallels and applications to crossing number
type: Item
instance of: scholarly article
title: The Jones polynomial of parallels and applications to crossing number
zbMATH Open document ID: 0723.57009
published in: Pacific Journal of Mathematics
publication date: 1994-01-01T00:00:00Z
review text: We study the Jones polynomial of the parallels of a link or knot. From the extremal exponents occurring we derive lower bounds on the crossing number of the knot, reproducing in particular a number of results of Thistlethwaite. We apply these techniques to give lower bound on the crossing number of some simple satellites of adequate and semi-adequate knots (including cable satellites) that are usually quadratic in the degree of the satellite.
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 4192661
zbMATH Keywords: Jones polynomial
zbMATH Keywords: link
zbMATH Keywords: knot
zbMATH Keywords: crossing number
zbMATH Keywords: satellites
zbMATH Keywords: cable satellites
author: Richard A. Stong
MaRDI profile type: Publication
full work available at URL: pjm.1994.164.383
OpenAlex ID: W1972600132
DOI: 10.2140/PJM.1994.164.383
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description: scientific article; zbMATH DE number 4192661