53 citations · 165 across the 33 of their papers we have counts for
4 papers · 1 filter
Quadruply-graded colored homology of knots
Eugene Gorsky, Sergei Gukov, Marko Stosic
We conjecture the existence of four independent gradings in the colored HOMFLY homology. We describe these gradings explicitly for the rectangular colored homology of torus knots a…
Representations of Rational Cherednik algebras with minimal support and torus knots
Pavel Etingof, Eugene Gorsky, Ivan Losev
We obtain several results about representations of rational Cherednik algebras, and discuss their applications. Our first result is the Cohen-Macaulayness property (as modules over…
Refined knot invariants and Hilbert schemes
Eugene Gorsky, Andrei Neguţ
We consider the construction of refined Chern-Simons torus knot invariants by M. Aganagic and S. Shakirov from the DAHA viewpoint of I. Cherednik. We give a proof of Cherednik's co…
Lattice and Heegaard-Floer homologies of algebraic links
Eugene Gorsky, András Némethi
We compute the Heegaard-Floer link homology of algebraic links in terms of the multivariate Hilbert function of the corresponding plane curve singularities. The main result of the…