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A Relation Between the Kauffman and the HOMFLY Polynomials for Torus Knots

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arxiv q-alg/9507031 v2 pith:WZD7G7XL submitted 1995-07-26 q-alg hep-thmath.QA

J.M.F. Labastida , E. Perez This is my paper · ORCID
classification q-alghep-thmath.QA
keywords knotstorusgaugehomflykauffmanpolynomialsarbitrarychern-simons
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abstract

Polynomial invariants corresponding to the fundamental representation of the gauge group $SO(N)$ are computed for arbitrary torus knots in the framework of Chern-Simons gauge theory making use of knot operators. As a result, a formula which relates the Kauffman and the HOMFLY polynomials for torus knots is presented.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A relation between the HOMFLY-PT and Kauffman polynomials via characters

    hep-th 2026-03 conditional novelty 7.0 of 10

    HOMFLY-PT/Kauffman relation via BMW characters proves HZ factorisability for 3-strand knots but fails for 4-strand knots.

  2. The HOMFLY-PT polynomial and HZ factorisation

    math-ph 2024-12 conditional novelty 6.0 of 10

    The HOMFLY-PT and Kauffman polynomials satisfy a previously torus-only relation for several infinite hyperbolic knot families that have factorised Harer-Zagier transforms.

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