19 citations · 45 across the 26 of their papers we have counts for
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math.RT2003★ 1 cited
Riemann-Roch-Hirzebruch integral formula for characters of reductive Lie groups
Matvei Libine
Let G_R be a real reductive Lie group acting on a manifold M. M.Kashiwara and W.Schmid in [KaSchm] constructed representations of G_R using sheaves and quasi-G_R-equivariant D-modu…
math.DG2003★ 2 cited
Integrals of Equivariant forms and a Gauss-Bonnet Theorem for Constructible Sheaves
Matvei Libine
The classical integral localization formula for equivariantly closed forms (Theorem 7.11 in [BGV]) is well-known and requires the acting Lie group to be compact. It is restated her…
math.DG2003
A fixed point localization formula for the Fourier transform of regular semisimple coadjoint orbits
Matvei Libine
Let G_R be a Lie group acting on an oriented manifold M, and let be an equivariantly closed form on M. If both G_R and M are compact, then the integral is given by t…