53 citations · 165 across the 33 of their papers we have counts for
14 papers · 1 filter
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…
Generic curves and non-coprime Catalans
Eugene Gorsky, Mikhail Mazin, Alexei Oblomkov
We compute the Poincaré polynomials of the compactified Jacobians for plane curve singularities with Puiseaux exponents , and relate them to the combinatorics of $q,t…
The affine Springer fiber-sheaf correspondence
Eugene Gorsky, Oscar Kivinen, Alexei Oblomkov
Given a semisimple element in the loop Lie algebra of a reductive group, we construct a quasi-coherent sheaf on a partial resolution of the trigonometric commuting variety of the L…
Algebra and geometry of link homology
Eugene Gorsky, Oscar Kivinen, José Simental
These notes cover the lectures of the first named author at 2021 IHES Summer School on "Enumerative Geometry, Physics and Representation Theory" with additional details and referen…
Positroid Links and Braid varieties
Roger Casals, Eugene Gorsky, Mikhail Gorsky +1
We study braid varieties and their relation to open positroid varieties. We discuss four different types of braids associated to open positroid strata and show that their associate…
Quadratic ideals and Rogers-Ramanujan recursions
Yuzhe Bai, Eugene Gorsky, Oscar Kivinen
We give an explicit recursive description of the Hilbert series and Gröbner bases for the family of quadratic ideals defining the jet schemes of a double point. We relate these rec…