Combinatorics and topology - François Jaeger's work in knot theory

DOI10.5802/aif.1700zbMath0922.57004OpenAlexW2329149387MaRDI QIDQ1296152

Louis H. Kauffman

Publication date: 12 July 1999

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1999__49_3_927_0

zbMATH Keywords

association schemeBose-Mesner algebraspin modelknotlinkHomfly polynomial

Mathematics Subject Classification ID

Related Items (1)

ORIENTED STATE MODEL OF THE JONES POLYNOMIAL AND ITS CONNECTION TO THE DICHROMATIC POLYNOMIAL

Cites Work

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• An algebra associated with a spin model
• Plane graphs and link invariants
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• On knot invariants related to some statistical mechanical models
• A Tutte polynomial for signed graphs
• Composition products and models for the homfly polynomial
• State models for link polynomials
• A polynomial invariant of oriented links
• State models and the Jones polynomial
• Strongly regular graphs and spin models for the Kauffman polynomial
• Knots, tangles, and electrical networks
• Spin models for link polynomials, strongly regular graphs and Jaeger's Higman-Sims model
• The Conway polynomial in \(R^ 3\) and in thickened surfaces: A new determinant formulation
• New constructions of models for link invariants
• On spin models, triply regular association schemes, and duality
• Knots, spin models and graphs
• Generalized generalized spin models (four-weight spin models)
• Tutte Polynomials and Link Polynomials
• GENERALIZED SPIN MODELS AND ASSOCIATION SCHEMES
• CLASSIFICATION OF SMALL SPIN MODELS
• On the computational complexity of the Jones and Tutte polynomials
• An Invariant of Regular Isotopy
• Circuit Partitions and the Homfly Polynomial of Closed Braids

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