33 citations · 65 across the 22 of their papers we have counts for
5 papers · 1 filter
Cluster tori over , hexagonal moves on triangulations, and minimal coverings of cluster manifolds
Daniel Pérez Melesio, José Simental
We study cluster algebras over . By the Laurent phenomenon there is a map from the set of seeds of the cluster algebra to the corresponding cluster variety. We show t…
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…
The elliptic Hall algebra and the double Dyck path algebra
Nicolle Gonzalez, Eugene Gorsky, Jose Simental
We show that the positive half of the elliptic Hall algebra is embedded as a natural spherical subalgebra inside the double Dyck path algebra $\mathbb{B}_{q…