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

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.

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

References in corpus (5)

• Three Dimensional Chern-Simons Theory as a Theory of Knots and Links III : Compact Semi-simple Group
• Three Dimensional Chern-Simons Theory as a Theory of Knots and Links
• Polynomials for Torus Links from Chern-Simons Gauge Theories
• The HOMFLY polynomial for torus links from Chern-Simons gauge theory
• Multi-matrix models without continuum limit

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• Chern-Simons Invariants of Torus Links
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• Matrix Factorizations and Kauffman Homology
• String theory and the Kauffman polynomial
• Colored Kauffman Homology and Super-A-polynomials
• Vassiliev Invariants for Links from Chern-Simons Perturbation Theory
• Circuit Complexity of Knot States in Chern-Simons theory
• Combinatorial Formulae for Vassiliev Invariants from Chern-Simons Gauge Theory
• Topological Quantum Field Theory: A Progress Report
• Toric Geometry and String Theory
• Gauge-Invariant Operators for Singular Knots in Chern-Simons Gauge Theory