Green functions via hyperbolic localization
Representation Theory
2010-04-27 v1
Abstract
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.
Cite
@article{arxiv.1004.4412,
title = {Green functions via hyperbolic localization},
author = {Pramod N. Achar},
journal= {arXiv preprint arXiv:1004.4412},
year = {2010}
}
Comments
14 pages