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A Relation Between the Kauffman and the HOMFLY Polynomials for Torus Knots
classification
q-alg
hep-thmath.QA
keywords
knotstorusgaugehomflykauffmanpolynomialsarbitrarychern-simons
read the original 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 1 Pith paper
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A relation between the HOMFLY-PT and Kauffman polynomials via characters
HOMFLY-PT/Kauffman relation via BMW characters proves HZ factorisability for 3-strand knots but fails for 4-strand knots.
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