A Gauss-Bonnet theorem for constructible sheaves on reductive groups
arXiv:math/0205015
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.
10 pages