The HOMFLY polynomial for torus links from Chern-Simons gauge theory

Abstract

Polynomial invariants corresponding to the fundamental representation of the gauge group $SU(N)$ 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.

63 pages

Cited by in corpus (10)

• Torus knots and mirror symmetry
• Topological Open String Amplitudes On Orientifolds
• Chern-Simons Invariants of Torus Links
• Kontsevich Integral for Vassiliev Invariants from Chern-Simons Perturbation Theory in the Light-Cone Gauge
• Genus expansion of HOMFLY polynomials
• Chern-Simons theory from M5-branes and calibrated M2-branes
• A Relation Between the Kauffman and the HOMFLY Polynomials for Torus Knots
• Combinatorial Formulae for Vassiliev Invariants from Chern-Simons Gauge Theory
• Gauge-Invariant Operators for Singular Knots in Chern-Simons Gauge Theory
• Harer-Zagier formulas for families of twisted hyperbolic knots