A Gauss-Bonnet theorem for constructible sheaves on reductive groups

2002/05/02 by Valentina Kiritchenko
Mathematics · #math.AG #math.RT #msc:20G20

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published as Mathematical Research Letters 9, No. 5-6 (2002), 791-800 · 10 pages

arxiv created 2002/05/02 · arxiv updated 2009/11/30

Abstract

We prove an analog of the Gauss-Bonnet formula for constructible sheaves on reductive groups. As a corollary from this formula we get that if a perverse sheaf on a reductive group is equivariant under the adjoint action, then its Euler characteristic is nonnegative.

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