Spin models for link polynomials, strongly regular graphs and jaeger’s higman-sims model

Abstract

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 and which involves the Higman-Sims graph. The associated invariant assigns to an oriented link the evaluation for a = - τ5 and z = 1 of its Kauffman polynomial in the Dubrovnik form, where τ denotes the golden ratio. © 1994 by Pacific Journal of Mathematics.