53 citations · 165 across the 33 of their papers we have counts for
45 papers
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…
Splicing positroid varieties
Eugene Gorsky, Tonie Scroggin
We construct an explicit isomorphism between an open subset in the open positroid variety in the Grassmannian and the product of two open posit…
Calibrated representations of the double Dyck path algebra
Nicolle González, Eugene Gorsky, José Simental
The double Dyck path algebra and its polynomial representation first arose as a key figure in the proof of the celebrated Shuffle Theorem of Carlsson and Mellit.…