Affine braid group actions on derived categories of springer resolutions
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Bezrukavnikov_Affine braid groups.pdf
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692.43 KB
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Author(s)
Bezrukavnikov, Roman
Richie, Simon
Date Issued
2012
Journal
Annales Scientifiques de l'Ecole Normale Superieure
Publisher
Elsevier Masson
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).
Version
Author's final manuscript
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.
Description
Author Manuscript 14 May 2011
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
http://smf4.emath.fr/en/Publications/AnnalesENS/4_45/html/ens_ann-sc_45_535-599.php
