33 citations · 65 across the 22 of their papers we have counts for
8 papers · 1 filter
Torus actions on compactified braid varieties and polytopality of subword complexes
Lara Bossinger, Mikhail Gorsky, José Simental
Every cluster variety admits an action of its cluster dilation group. We prove that, in the case of braid varieties for simple Lie groups, this action always extends to a regular a…
Smooth correspondences between quiver varieties
Nicolle González, Eugene Gorsky, José Simental
We introduce a new class of smooth correspondences between Nakajima quiver varieties called split parabolic quiver varieties, and study their properties. We use these correspondenc…
Comparing cluster algebras on braid varieties
Roger Casals, Pavel Galashin, Mikhail Gorsky +3
Braid varieties parametrize linear configurations of flags with transversality conditions dictated by positive braids. They include and generalize reduced double Bruhat cells, posi…
Splicing braid varieties
Eugene Gorsky, Soyeon Kim, Tonie Scroggin +1
For a positive braid , we consider the braid variety . We define a family of open sets in , where is a permut…
Splicing skew shaped positroids
Eugene Gorsky, Soyeon Kim, Tonie Scroggin +1
Skew shaped positroids (or skew shaped positroid varieties) are certain Richardson varieties in the flag variety that admit a realization as explicit subvarieties of the Grassmanni…
Cluster deep loci and mirror symmetry
Marco Castronovo, Mikhail Gorsky, José Simental +1
Affine cluster varieties are covered up to codimension 2 by open algebraic tori. We put forth a general conjecture (based on earlier conversation between Vivek Shende and the last…
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…