# Affine braid group actions on derived categories of Springer resolutions

@article{Bezrukavnikov2011AffineBG, title={Affine braid group actions on derived categories of Springer resolutions}, author={Roman Bezrukavnikov and Simon Riche}, journal={arXiv: Representation Theory}, year={2011} }

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…

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