New points of view in knot theory

Preprint

1 April 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/9304209

Abstract

In this article we shall give an account of certain developments in knot theory which followed upon the discovery of the Jones polynomial in 1984. The focus of our account will be recent glimmerings of understanding of the topological meaning of the new invariants. A second theme will be the central role that braid theory has played in the subject. A third will be the unifying principles provided by representations of simple Lie algebras and their universal enveloping algebras. These choices in emphasis are our own. They represent, at best, particular aspects of the far-reaching ramifications that followed the discovery of the Jones polynomial.

Keywords

UNIFYING PRINCIPLES
JONES POLYNOMIAL
KNOT THEORY
NEW POINTS
DISCOVERY
ALGEBRAS
THEORY
BRAID

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Version 1, 1993-04-01, ArXiv

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