The action of full twist on the superpolynomial for torus knots

Abstract

We show, using Mellit's recent results, that Kálmán's full twist formula for the HOMFLY polynomial can be generalized to a formula for superpolynomials in the case of positive toric braids.

arXiv comment7 pages, 2 figures

References in corpus (5)

• Matrix factorizations and link homology II
• The Hilbert scheme of a plane curve singularity and the HOMFLY homology of its link
• Homology of torus knots
• On the computation of torus link homology
• Meridian twisting of closed braids and the Homfly polynomial

Cited by in corpus (6)

• Khovanov polynomials for satellites and asymptotic adjoint polynomials
• Towards tangle calculus for Khovanov polynomials
• Planar decomposition of bipartite HOMFLY polynomials in symmetric representations
• Khovanov-Rozansky cycle calculus for bipartite links
• A full-twisting formula for the HOMFLY polynomial
• Schur Function Expansions and the Rational Shuffle Theorem