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Derived equivalences for cotangent bundles of Grassmannians via categorical SL2 actions

Cautis, Sabin; Kamnitzer, Joel; Licata, Anthony

Description

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

dc.contributor.authorCautis, Sabin
dc.contributor.authorKamnitzer, Joel
dc.contributor.authorLicata, Anthony
dc.date.accessioned2015-12-13T22:38:23Z
dc.identifier.issn0075-4102
dc.identifier.urihttp://hdl.handle.net/1885/77535
dc.description.abstractWe 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
dc.publisherWalter de Gruyter
dc.sourceJournal fur Reine und Angewandte Mathematik
dc.titleDerived equivalences for cotangent bundles of Grassmannians via categorical SL2 actions
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume675
dc.date.issued2013
local.identifier.absfor010101 - Algebra and Number Theory
local.identifier.absfor010103 - Category Theory, K Theory, Homological Algebra
local.identifier.absfor010105 - Group Theory and Generalisations
local.identifier.ariespublicationf5625xPUB6381
local.type.statusPublished Version
local.contributor.affiliationCautis, Sabin, Columbia University
local.contributor.affiliationKamnitzer, Joel, University of Toronto
local.contributor.affiliationLicata, Anthony, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage53
local.bibliographicCitation.lastpage99
local.identifier.doi10.1515/CRELLE.2011.184
dc.date.updated2015-12-11T09:43:34Z
local.identifier.scopusID2-s2.0-84876555095
local.identifier.thomsonID000314167800002
CollectionsANU Research Publications

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