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Combinatorial knot theory and the Jones polynomial

Louis H. Kauffman

Department of Mathematics, Statistics and Computer Science (m/c 249), University of Illinois at Chicago, 851 South Morgan Street, Chicago, Illinois 60607-7045, USA

E-mail Address: kauffman@uic.edu

E-mail Address: loukau@gmail.com

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https://doi.org/10.1142/S0218216523400114Cited by:0 (Source: Crossref)

This article is part of the issue:

Special Issue: Dedicated to the work and memory of Vaughan F. R. Jones (Part 1)
Guest Editors: S. Lambropoulou and L. H. Kauffman

Abstract

This paper is an introduction to combinatorial knot theory via state summation models for the Jones polynomial and its generalizations. It is also a story about the developments that ensued in relation to the discovery of the Jones polynomial and a remembrance of Vaughan Jones and his mathematics.

AMSC: 57M25

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