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

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

1995-07-26

arxiv.org/abs/q-alg/9507031v2

Physics

High Energy Physics

High Energy Physics - Theory

47 pages, macropackage phyzzx.tex, minor corrections made, version to appear in Journal of Mathematical Physics

Scientific paper

10.1063/1.531495

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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