5 papers · 1 filter
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…
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…
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 per…
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…