4 papers · 1 filter
Tautological classes for (n,n+1) torus knots
Eugene Gorsky, Anton Mellit
We construct an explicit isomorphism between the HOMFLY-PT homology of torus knots and the direct sum of hook isotypic components of the space of diagonal coinvariants. A…
Colored knot Floer homology: structures and examples
Akram Alishahi, Eugene Gorsky, Beibei Liu
Inspired by the colored version of Khovanov and Khovanov-Rozansky homology, we define a colored version of knot Floer homology by studying the colimit of a directed system of…
Stable deformed homology of torus knots
William Ballinger, Eugene Gorsky, Matthew Hogancamp +1
We compute the page in the Rasmussen spectral sequence from triply graded to Khovanov--Rozansky stable homology of torus knots. This confirms a weak form of…
Hecke categories, idempotents, and commuting stacks
Eugene Gorsky, Andrei Neguţ
We formulate a connection between a topological and a geometric category. The former is the idempotent completion of the (horizontal) trace of the affine Hecke category, while the…