Derived equivalences for cotangent bundles of Grassmannians via categorical sl(2) actions

Abstract

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 between the derived categories of coherent sheaves on cotangent bundles to complementary Grassmannians.

35 pages

References in corpus (2)

• A categorification of quantum sl(2)
• Coherent sheaves and categorical sl(2) actions

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