SPIN MODELS FOR LINK POLYNOMIALS, STRONGLY REGULAR GRAPHS AND JAEGERSHIGMAN-SIMS MODEL

Authors
DELAHARPE P
Citation
P. Delaharpe, SPIN MODELS FOR LINK POLYNOMIALS, STRONGLY REGULAR GRAPHS AND JAEGERSHIGMAN-SIMS MODEL, Pacific journal of mathematics, 162(1), 1994, pp. 57-96
Citations number
46
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Pacific journal of mathematics → ACNP
ISSN journal
00308730
Volume
162
Issue
1
Year of publication
1994
Pages
57 - 96
Database
ISI
SICI code
0030-8730(1994)162:1<57:SMFLPS>2.0.ZU;2-I
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 expos ition of a recent spin model due to F. Jaeger and which involves the H igman-Sims graph. The associated invariant assigns to an oriented link the evaluation for a = -tau(5) and z = 1 of its Kauffman polynomial i n the Dubrovnik form, where tau denotes the golden ratio.