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A relation between the Kauffman and the HOMFLY polynomials for torus knots

A relation between the Kauffman and the HOMFLY polynomials for torus knots

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.