Reformulated invariants for non-torus knots and links

Abstract

Using the Racah coefficients in our earlier paper arXiv:1107.3918, we explicitly write the Chern-Simons field theory invariants for many non-torus knot and links. Further, we have tabulated the reformulated invariants which agrees with the Ooguri-Vafa conjecture for knots and Labastida-Marino-Vafa conjecture for links.

22 pages, 2 figures

References in corpus (3)

• HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations
• Composite Representation Invariants and Unoriented Topological String Amplitudes
• Composite Invariants and Unoriented Topological String Amplitudes

Cited by in corpus (5)

• Colored knot polynomials for Pretzel knots and links of arbitrary genus
• Towards R-matrix construction of Khovanov-Rozansky polynomials. I. Primary $T$-deformation of HOMFLY
• Differential expansion for link polynomials
• On R-matrix approaches to knot invariants
• On possible existence of HOMFLY polynomials for virtual knots