Affine braid group actions on derived categories of Springer resolutions
By R. Bezrukavnikov, Simon Riche. 2011
85 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/ce841ee1875dea85c3834b0864d55849363c04d7
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In Geometry and Topology
- R. Bezrukavnikov
- Simon Riche
- Geordie Williamson
- I. Losev
- Arend Bayer
- Alexander Polishchuk
- D. Arinkin
- Sergey V. Arkhipov
In Mathematical Physics
- R. Bezrukavnikov
- I. Losev
- Simon Riche
- Arend Bayer
- Alexander Polishchuk
- Michel van den Bergh
- Geordie Williamson
- D. Arinkin
Citations in the corpus
- On two geometric realizations of an affine Hecke algebra (2012, background): “2 and [21] that for a proper map X → Y of smooth varieties convolution yields a monoidal structure on the derived coherent category of the”