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

1995/07/31 by J.M.F. Labastida, J. M. F. Labastida, E. Perez +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #hep-th #math.QA #q-alg

paper · pdf · doi:10.1063/1.531495

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

arxiv created 1995/12/07 · openalex publication_date 1996/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 that relates the Kauffman and the HOMFLY polynomials for torus knots is presented.

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