Spin models for link polynomials, strongly regular graphs and Jaeger's Higman-Sims model
type: Item
instance of: scholarly article
title: Spin models for link polynomials, strongly regular graphs and Jaeger's Higman-Sims model
zbMATH Open document ID: 0795.57002
published in: Pacific Journal of Mathematics
publication date: 1994-04-27T00:00:00Z
review text: We recall first some known facts on Jones and Kauffman polynomials for links, and on state models for link invariants. We give next an exposition of a recent spin model due to F. Jaeger which involves the Higman-Sims graph. The associated invariant assigns to an oriented link the evaluation for \(a=-\tau^ 5\) and \(z=1\) of its Kauffman polynomial in the Dubrovnik form, where \(\tau\) denotes the golden ratio.
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 82B23
Mathematics Subject Classification ID: 05C50
zbMATH DE Number: 540659
zbMATH Keywords: Jones and Kauffman polynomials for links
zbMATH Keywords: state models for link invariants
zbMATH Keywords: spin model
zbMATH Keywords: Higman-Sims graph
zbMATH Keywords: golden ratio
author: Pierre de la Harpe
MaRDI profile type: Publication
full work available at URL: pjm.1994.162.57
OpenAlex ID: W2082756587
DOI: 10.2140/PJM.1994.162.57
description: scientific article; zbMATH DE number 540659