8 citations · 11 across the 3 of their papers we have counts for
5 papers
Remark on twists of Frobenius algebra and link homology
Noboru Ito, Keita Nakagane, Jun Yoshida
We discuss twists on Frobenius algebras in the context of link homology. In his paper in 2006, Khovanov asserted that a twist of a Frobenius algebra yields an isomorphic chain comp…
Computations of HOMFLY homology
Keita Nakagane, Taketo Sano
Khovanov--Rozansky's HOMFLY homology is determined for all prime knots with up to 11 crossings by direct computations.
A full-twisting formula for the HOMFLY polynomial
Keita Nakagane
We introduce a certain class of link diagrams, which includes all closed braid diagrams. We show a generalized version of Kálmán's full-twist formula for the HOMFLY polynomial in t…
Serre duality for Khovanov-Rozansky homology
Eugene Gorsky, Matthew Hogancamp, Anton Mellit +1
We prove that the full twist is a Serre functor in the homotopy category of type A Soergel bimodules. As a consequence, we relate the top and bottom Hochschild degrees in Khovanov-…
The action of full twist on the superpolynomial for torus knots
Keita Nakagane
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 tori…