English

A Gauss-Bonnet theorem for constructible sheaves on reductive groups

Algebraic Geometry 2007-05-23 v1 Representation Theory

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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Cite

@article{arxiv.math/0205015,
  title  = {A Gauss-Bonnet theorem for constructible sheaves on reductive groups},
  author = {Valentina Kiritchenko},
  journal= {arXiv preprint arXiv:math/0205015},
  year   = {2007}
}

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10 pages