1 citations · 1 across the 8 of their papers we have counts for
8 papers
Localization of Equivariant Cohomology for Compact and Non-compact Group Actions
A. A. Bytsenko, M. Libine, F. L. Williams
We give a brief introduction to the Berline-Vergne localization formula for the finite-dimensional setting and indicate how the Duistermaat-Heckman formula is derived from it. We c…
On equivariant cohomology, integrals of equivariant forms and Duistermaat-Heckman measures for non-compact group actions
Matvei Libine
This is an expanded version of the talk I gave at Oberwolfach, MIT and several other universities.
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…
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…
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…