Derived equivalences for cotangent bundles of Grassmannians via categorical SL2 actions

Sabin Cautis; Joel Kamnitzer; Anthony Licata

doi:10.1515/CRELLE.2011.184

Derived equivalences for cotangent bundles of Grassmannians via categorical SL₂ actions

Sabin Cautis^*, Joel Kamnitzer, Anthony Licata

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

28 Citations (Scopus)

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.

Original language	English
Pages (from-to)	53-99
Number of pages	47
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	675
DOIs	https://doi.org/10.1515/CRELLE.2011.184
Publication status	Published - Feb 2013
Externally published	Yes

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10.1515/CRELLE.2011.184

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title = "Derived equivalences for cotangent bundles of Grassmannians via categorical SL2 actions",

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.",

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AU - Kamnitzer, Joel

AU - Licata, Anthony

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AB - 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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DO - 10.1515/CRELLE.2011.184

M3 - Article

SN - 0075-4102

SP - 53

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JO - Journal fur die Reine und Angewandte Mathematik

JF - Journal fur die Reine und Angewandte Mathematik

IS - 675

ER -

Derived equivalences for cotangent bundles of Grassmannians via categorical SL₂ actions

Abstract

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