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Polynomial invariants corresponding to the fundamental representation of thegauge group $SO(N)$ are computed for arbitrary torus knots in the framework ofChern-Simons gauge theory making use of knot operators. As a result, a formulawhich relates the Kauffman and the HOMFLY polynomials for torus knots ispresented.Comment: 47 pages, macropackage phyzzx.tex, minor corrections made, version to  appear in Journal of Mathematical Physic

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