A Gauss-Bonnet theorem for constructible sheaves on reductive groups

Details A Gauss-Bonnet theorem for constructible sheaves on reductive groups A Gauss-Bonnet theorem for constructible sheaves on reductive groups

2002-05-02

arxiv.org/abs/math/0205015v1

Mathematical Research Letters 9, No. 5-6 (2002), 791-800

Mathematics

Algebraic Geometry

10 pages

Scientific paper

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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