Louis 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.
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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.
Key concepts: Knot polynomial, Mathematics, Jones polynomial, HOMFLY polynomial, Knot theory, Alexander polynomial, Quantum invariant, Knot (papermaking)