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arXiv · 0902.1797

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

Sabin Cautis·Joel Kamnitzer·Anthony Licata
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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.

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Sabin Cautis, Joel Kamnitzer, Anthony Licata. 2009-02-11. Derived equivalences for cotangent bundles of Grassmannians via categorical sl(2) actions. https://arxiv.org/abs/0902.1797

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