State models and the Jones polynomial
type: Item
instance of: scholarly article
title: State models and the Jones polynomial
zbMATH Open document ID: 0622.57004
DOI: 10.1016/0040-9383(87)90009-7
author: Louis Kauffman
published in: Topology
publication date: 1987-01-01T00:00:00Z
review text: Using a method of ''state models'' for calculating the Jones polynomial of a link, the author proves the topological invariance of the number of crossings in a simple alternating projection of an alternating knot. Among other things he also gives necessary conditions for an oriented alternating link to be ambient isotopic to its mirror image.
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 46L10
zbMATH DE Number: 4009331
zbMATH Keywords: amphichiral
zbMATH Keywords: state models
zbMATH Keywords: Jones polynomial of a link
zbMATH Keywords: topological invariance of the number of crossings
zbMATH Keywords: simple alternating projection
zbMATH Keywords: alternating knot
Wikidata QID: Q56456439
reviewed by: Lee P. Neuwirth
MaRDI profile type: Publication
full work available at URL: 0040-9383(87)90009-7
OpenAlex ID: W2137459590
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description: scientific article; zbMATH DE number 4009331