114 citations · 522 across the 32 of their papers we have counts for
4 papers · 2 filters
Equivalences and stratified flops
Sabin Cautis
We construct natural equivalences between derived categories of coherent sheaves on the local models for stratified Mukai or Atiyah flops (of type A).
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…