The HOMFLY polynomial for torus links from Chern-Simons gauge theory
J. M. F. Labastida, M. Mari\~no
TL;DR
This paper derives a formula for the HOMFLY polynomial of arbitrary torus links using Chern-Simons gauge theory and knot operators, providing a unified approach to polynomial invariants in knot theory.
Contribution
It introduces a new method to compute HOMFLY polynomials for torus links within the Chern-Simons gauge theory framework, extending previous results.
Findings
Derived a general formula for HOMFLY polynomials of torus links
Applied Chern-Simons gauge theory to knot invariants
Enhanced understanding of polynomial invariants in knot theory
Abstract
Polynomial invariants corresponding to the fundamental representation of the gauge group are computed for arbitrary torus knots and links in the framework of Chern-Simons gauge theory making use of knot operators. As a result, a formula for the HOMFLY polynomial for arbitrary torus links is presented.
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