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

作者:Cautis Sabin*; Kamnitzer Joel; Licata Anthony
来源:Journal fur die Reine und Angewandte Mathematik, 2013, 675(675): 53-99.
DOI:10.1515/CRELLE.2011.184

摘要

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.

  • 出版日期2013-2