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Derived equivalences for cotangent bundles of Grassmannians via categorical 𝔰𝔩2 actions
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Sabin Cautis
,
Joel Kamnitzer
Published/Copyright:
January 21, 2012
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.
Received: 2010-06-15
Revised: 2011-05-14
Published Online: 2012-01-21
Published in Print: 2013-02
©[2013] by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Curve counting theories via stable objects Ⅱ : DT/ncDT flop formula
- Derived equivalences for cotangent bundles of Grassmannians via categorical 𝔰𝔩2 actions
- n-angulated categories
- Hypertrees, projections, and moduli of stable rational curves
- Locally conformally flat quasi-Einstein manifolds
- Annihilating Selmer modules
- Fitting ideals of ℓ-adic realizations of Picard 1-motives and class groups of global function fields
