dc.contributor.author | Bezrukavnikov, Roman | |
dc.contributor.author | Richie, Simon | |
dc.date.accessioned | 2013-10-01T13:34:07Z | |
dc.date.available | 2013-10-01T13:34:07Z | |
dc.date.issued | 2012 | |
dc.identifier.issn | 0012-9593 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/81253 | |
dc.description | Author Manuscript 14 May 2011 | en_US |
dc.description.abstract | In 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.iso | en_US | |
dc.publisher | Elsevier Masson | en_US |
dc.relation.isversionof | http://smf4.emath.fr/en/Publications/AnnalesENS/4_45/html/ens_ann-sc_45_535-599.php | en_US |
dc.rights | Creative Commons Attribution-Noncommercial-Share Alike 3.0 | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/ | en_US |
dc.source | Prof. Bezrukavnikov via Michael Noga | en_US |
dc.title | Affine braid group actions on derived categories of springer resolutions | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Bezrukavnikov, 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.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
dc.contributor.mitauthor | Bezrukavnikov, Roman | en_US |
dc.relation.journal | Annales Scientifiques de l'Ecole Normale Superieure | en_US |
dc.eprint.version | Author's final manuscript | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dspace.orderedauthors | Bezrukavnikov, Roman; Riche, Simon | en_US |
dc.identifier.orcid | https://orcid.org/0000-0001-5902-8989 | |
mit.license | OPEN_ACCESS_POLICY | en_US |
mit.metadata.status | Complete | |