Derived equivalences for cotangent bundles of Grassmannians via categorical 𝔰𝔩2 actions
نویسندگان
چکیده
منابع مشابه
DERIVED EQUIVALENCES FOR COTANGENT BUNDLES OF GRASSMANNIANS VIA CATEGORICAL sl2 ACTIONS
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.
متن کاملDERIVED EQUIVALENCES FOR COTANGENT BUNDLES OF GRASSMANNIANS FROM CATEGORICAL sl2 ACTIONS
We construct an equivalence of categories from a strong categorical sl(2) action, following the work of Chuang-Rouquier. As an application, we answer a question of Namikawa and give an explicit equivalence of categories between coherent sheaves on cotangent bundles to complementary Grassmannians.
متن کاملar X iv : 0 90 2 . 17 97 v 2 [ m at h . A G ] 1 9 N ov 2 00 9 DERIVED EQUIVALENCES FOR COTANGENT BUNDLES OF GRASSMANNIANS VIA CATEGORICAL sl 2 ACTIONS
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.
متن کاملCoherent Sheaves and Categorical
We introduce the concept of a geometric categorical sl2 action and relate it to that of a strong categorical sl2 action. The latter is a special kind of 2-representation in the sense of Rouquier. The main result is that a geometric categorical sl2 action induces a strong categorical sl2 action. This allows one to apply the theory of strong sl2 actions to various geometric situations. Our main e...
متن کاملCOHERENT SHEAVES AND CATEGORICAL sl2 ACTIONS
We introduce the concept of a geometric categorical sl2 action and relate it to that of a strong categorical sl2 action. The latter is a special kind of 2-representation in the sense of Rouquier. The main result is that a geometric categorical sl2 action induces a strong categorical sl2 action. This allows one to apply the theory of strong sl2 actions to various geometric situations. Our main e...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2013
ISSN: 1435-5345,0075-4102
DOI: 10.1515/crelle.2011.184