%0 Journal Article
%T Green functions via hyperbolic localization
%A Pramod N. Achar
%J Mathematics
%D 2010
%I arXiv
%X Let G be a reductive algebraic group, with nilpotent cone N and flag variety G/B. We construct an exact functor from perverse sheaves on N to locally constant sheaves on G/B, and we use it to study Ext-groups of simple perverse sheaves on N in terms of the cohomology of G/B. As an application, we give new proofs of some known results on stalks of perverse sheaves on N.
%U http://arxiv.org/abs/1004.4412v1