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

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

2009-02-11

arxiv.org/abs/0902.1797v3

Mathematics

Algebraic Geometry

35 pages

Scientific paper

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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