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arxiv: math/0205015 · v1 · submitted 2002-05-02 · 🧮 math.AG · math.RT

A Gauss-Bonnet theorem for constructible sheaves on reductive groups

classification 🧮 math.AG math.RT
keywords reductiveconstructibleformulagauss-bonnetgroupssheavesactionadjoint
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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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