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

DOI10.1063/1.531495zbMath0868.57013arXivq-alg/9507031OpenAlexW2058375120MaRDI QIDQ5284460

Esther Pérez, José M. F. Labastida

Publication date: 22 January 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9507031

zbMATH Keywords

Chern-Simons gauge theorytorus knotspolynomial invariants

Mathematics Subject Classification ID

Related Items (9)

Colored Kauffman homology and super-A-polynomials ⋮ Vassiliev invariants for links from Chern-Simons perturbation theory ⋮ Galois conjugation and multiboundary entanglement entropy ⋮ String theory and the Kauffman polynomial ⋮ Chern-Simons invariants of torus links ⋮ Combinatorial formulas for Vassiliev invariants from Chern–Simons gauge theory ⋮ Kontsevich integral for Vassiliev invariants from Chern–Simons perturbation theory in the light-cone gauge ⋮ Circuit complexity of knot states in Chern-Simons theory ⋮ Gauge-invariant operators for singular knots in Chern-Simons gauge theory

Cites Work

• Non-Abelian bosonization in two dimensions
• A polynomial invariant for unoriented knots and links
• Hecke algebra representations of braid groups and link polynomials
• Quantum field theory and the Jones polynomial
• New hierarchies of knot polynomials from topological Chern-Simons gauge theory
• Three-dimensional Chern-Simons theory as a theory of knots and links. III: Compact semi-simple group
• Multi-matrix models without continuum limit
• The Kauffman polynomial of periodic knots
• THE HOMFLY POLYNOMIAL FOR TORUS LINKS FROM CHERN–SIMONS GAUGE THEORY
• A polynomial invariant for knots via von Neumann algebras
• A new polynomial invariant of knots and links
• The New Polynomial Invariants of Knots and Links
• ON THE INVARIANTS OF TORUS KNOTS DERIVED FROM QUANTUM GROUPS
• Exactly Solvable Models and New Link Polynomials. IV. IRF Models
• Chern-Simons and conformal field theories

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