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dc.contributor.authorBezrukavnikov, Roman
dc.contributor.authorRichie, Simon
dc.date.accessioned2013-10-01T13:34:07Z
dc.date.available2013-10-01T13:34:07Z
dc.date.issued2012
dc.identifier.issn0012-9593
dc.identifier.urihttp://hdl.handle.net/1721.1/81253
dc.descriptionAuthor Manuscript 14 May 2011en_US
dc.description.abstractIn this paper we construct and study an action of the affine braid group associated to a semi-simple algebraic group on derived categories of coherent sheaves on various varieties related to the Springer resolution of the nilpotent cone. In particular, we describe explicitly the action of the Artin braid group. This action is a "categorical version" of Kazhdan--Lusztig--Ginzburg's construction of the affine Hecke algebra, and is used in particular by the first author and Ivan Mirkovic in the course of the proof of Lusztig's conjectures on equivariant K-theory of Springer fibers.en_US
dc.language.isoen_US
dc.publisherElsevier Massonen_US
dc.relation.isversionofhttp://smf4.emath.fr/en/Publications/AnnalesENS/4_45/html/ens_ann-sc_45_535-599.phpen_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alike 3.0en_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/en_US
dc.sourceProf. Bezrukavnikov via Michael Nogaen_US
dc.titleAffine braid group actions on derived categories of springer resolutionsen_US
dc.typeArticleen_US
dc.identifier.citationBezrukavnikov, Roman; Riche, Simon. "Affine braid group actions on derived categories of Springer resolutions" Annales Scientifiques de l'Ecole Normale Superieure, 4 45, fascicule 4 (2012).en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.mitauthorBezrukavnikov, Romanen_US
dc.relation.journalAnnales Scientifiques de l'Ecole Normale Superieureen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsBezrukavnikov, Roman; Riche, Simonen_US
dc.identifier.orcidhttps://orcid.org/0000-0001-5902-8989
mit.licenseOPEN_ACCESS_POLICYen_US
mit.metadata.statusComplete


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