53 citations · 165 across the 33 of their papers we have counts for
16 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…
Splitting maps in link Floer homology and integer points in permutahedra
Akram Alishahi, Eugene Gorsky, Beibei Liu
In this paper, we study the skein exact sequence for links via the exact surgery triangle of link Floer homology and compare it with other skein exact sequences given by Ozsváth an…
The Trace of the affine Hecke category
Eugene Gorsky, Andrei Neguţ
We compare the (horizontal) trace of the affine Hecke category with the elliptic Hall algebra, thus obtaining an "affine" version of the construction of [14]. Explicitly, we show t…