Combinatorics and topology - François Jaeger's work in knot theory
type: Item
instance of: scholarly article
title: Combinatorics and topology - François Jaeger's work in knot theory
zbMATH Open document ID: 0922.57004
author: Louis Kauffman
publication date: 1999-07-12T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75371
review text: The author gives a nice elementary introduction to the beautiful results of François Jaeger related to knot theory. These results demonstrate a number of interesting connections between combinatorics and the topology of knots and links. Starting from the bracket polynomial the author explains Jaeger's discovery of a combinatorial state model for the Homfly polynomial. Using a spin model in terms of the checkerboard graph of a knot or link, the author gives an introduction to the connection of spin models with association schemes. The Bose-Mesner matrix algebra corresponding to the association scheme is discussed. The bibliography contains the list of Jaeger's papers related to knot theory.
reviewed by: Andrei Vesnin
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 1314953
zbMATH Keywords: knot
zbMATH Keywords: link
zbMATH Keywords: Homfly polynomial
zbMATH Keywords: spin model
zbMATH Keywords: association scheme
zbMATH Keywords: Bose-Mesner algebra
MaRDI profile type: Publication
OpenAlex ID: W2329149387
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DOI: 10.5802/AIF.1700
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 1314953