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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…
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…
A Localization Argument for Characters of Reductive Lie Groups: An Introduction and Examples
Matvei Libine
In this article I describe my recent geometric localization argument dealing with actions of NONcompact groups which provides a geometric bridge between two entirely different char…
A Localization Argument for Characters of Reductive Lie Groups
Matvei Libine
This article provides a geometric bridge between two entirely different character formulas for reductive Lie groups and answers the question posed by W.Schmid in [Sch]. A correspon…