English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper we construct and study an action of the affine braid groupassociated to a semi-simple algebraic group on derived categories of coherentsheaves on various varieties related to the Springer resolution of thenilpotent cone. In particular, we describe explicitly the action of the Artinbraid group. This action is a "categorical version" ofKazhdan--Lusztig--Ginzburg's construction of the affine Hecke algebra, and isused in particular by the first author and Ivan Mirkovic in the course of theproof of Lusztig's conjectures on equivariant K-theory of Springer fibers.

Affine braid group actions on derived categories of Springer resolutions