Green functions via hyperbolic localization.
Documenta mathematica, Tome 16 (2011), pp. 869-884.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let $G$ be a reductive algebraic group, with nilpotent cone $\cN$ and flag variety $\cB$. We construct an exact functor from perverse sheaves on $\cN$ to locally constant sheaves on $\cB$, and we use it to study Ext-groups and stalks of simple perverse sheaves on $\cN$ in terms of the cohomology of $\cB$.
Classification : 20G05, 14F05, 32S60
Keywords: nilpotent cone, perverse sheaves, hyperbolic localization
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     author = {Achar, Pramod N.},
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Achar, Pramod N. Green functions via hyperbolic localization.. Documenta mathematica, Tome 16 (2011), pp. 869-884. http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a5/