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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…
math.DG2002
A New Proof of the Integral Localization Formula for Equivariantly Closed Differential Forms
Matvei Libine
In this article we give a totally new proof of the integral localization formula for equivariantly closed differential forms (Theorem 7.11 in [BGV]). We restate it here as Theorem…
math.DG2002
The K-group of R-constructible Sheaves
Matvei Libine
Let Z be a smooth projective manifold. In these notes I will prove that the K-group of R-constructible sheaves is isomorphic to the free abelian group with one generator for each o…