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

J. M. F. Labastida, E. Perez

q-algarXiv:q-alg/9507031

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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