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arxiv: 0902.1797 · v3 · pith:CUDRSHABnew · submitted 2009-02-11 · 🧮 math.AG · math.CT· math.QA

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

classification 🧮 math.AG math.CTmath.QA
keywords bundlescategoricalcategoriescotangentderivedequivalencegrassmanniansaction
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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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