The Jones polynomial, Knots, diagrams, and categories

Author:

Kauffman Louis

Abstract

This essay is a remembrance of Vaughan Jones and a diagrammatic exposition of the remarkable breakthroughs in knot theory and low-dimensional topology that were catalyzed by his work.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference56 articles.

1. Exactly solvable models and new link polynomials. I. 𝑁-state vertex models;Akutsu, Yasuhiro;J. Phys. Soc. Japan,1987

2. Exactly solvable models and new link polynomials. II. Link polynomials for closed 3-braids;Akutsu, Yasuhiro;J. Phys. Soc. Japan,1987

3. Topological invariants of knots and links;Alexander, J. W.;Trans. Amer. Math. Soc.,1928

4. On types of knotted curves;Alexander, J. W.;Ann. of Math. (2),1926

5. Vassiliev knot invariants and Chern-Simons perturbation theory to all orders;Altschuler, Daniel;Comm. Math. Phys.,1997

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1. The legacy of Vaughan Jones in ₁ factors;Bulletin of the American Mathematical Society;2023-07-05

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