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Coherent sheaves and categorical sl2 actions

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dc.contributor.authorCautis, Sabin
dc.contributor.authorKamnitzer, Joel
dc.contributor.authorLicata, Anthony
dc.date.accessioned2015-12-13T22:44:50Z
dc.date.available2015-12-13T22:44:50Z
dc.date.issued2010
dc.date.updated2015-12-11T10:17:55Z
dc.description.abstractWe 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 Lauda and 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 example is the construction of a geometric categorical sl2 action on the derived category of coherent sheaves on cotangent bundles of Grassmannians.
dc.identifier.issn0012-7094
dc.identifier.urihttp://hdl.handle.net/1885/79496
dc.publisherDuke University Press
dc.sourceDuke Mathematical Journal
dc.titleCoherent sheaves and categorical sl2 actions
dc.typeJournal article
local.bibliographicCitation.issue1
local.bibliographicCitation.lastpage179
local.bibliographicCitation.startpage135
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.contributor.authoruidLicata, Anthony, u5250598
local.description.notesImported from ARIES
local.identifier.absfor010103 - Category Theory, K Theory, Homological Algebra
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.ariespublicationf5625xPUB7925
local.identifier.citationvolume154
local.identifier.doi10.1215/00127094-2010-035
local.identifier.scopusID2-s2.0-77957788633
local.type.statusPublished Version

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