New Link Invariants and Yang-Baxter Equation

1994/07/20 by Susumu Ôkubo, Susumu Okubo, Okubo, Susumu
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Geometric and Algebraic Topology #hep-th #math.QA

paper · pdf · doi:10.48550/arxiv.hep-th/9407127

22 pages

arxiv created 1994/07/20 · arxiv updated 2009/11/30

Abstract

We have new solutions to the Yang-Baxter equation, from which we have constructed new link invariants containing more than two arbitrary parameters. This may be regarded as a generalization of the Jones' polynomial. We have also found another simpler invariant which discriminates only the linking structure of knots with each other, but not details of individual knot.

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