63 citations · 423 across the 30 of their papers we have counts for
3 papers · 2 filters
Derived equivalences for cotangent bundles of Grassmannians via categorical sl(2) actions
Sabin Cautis, Joel Kamnitzer, Anthony Licata
We construct an equivalence of categories from a strong categorical sl(2) action, following the work of Chuang-Rouquier. As an application, we give an explicit, natural equivalence…
Coherent sheaves and categorical sl(2) actions
Sabin Cautis, Joel Kamnitzer, Anthony Licata
We introduce the concept of a geometric categorical sl(2) action and relate it to that of a strong categorical sl(2) action. The latter is a special kind of 2-representation in the…
Categorical geometric skew Howe duality
Sabin Cautis, Joel Kamnitzer, Anthony Licata
We categorify the R-matrix isomorphism between tensor products of minuscule representations of U_q(sl(n)) by constructing an equivalence between the derived categories of coherent…