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28 March 2024
 
  » arxiv » math.DG/9905130

 Article overview


Group-valued equivariant localization
Anton Alekseev ; Eckhard Meinrenken ; Chris Woodward ;
Date 20 May 1999
Subject Differential Geometry; Quantum Algebra | math.DG hep-th math.QA
AbstractWe prove a localization formula for group-valued equivariant de Rham cohomology of a compact G-manifold. This formula is a non-trivial generalization of the localization formula of Berline-Vergne and Atiyah-Bott for the usual equivariant de Rham cohomology. As an application, we obtain a version of the Duistermaat-Heckman formula for Hamiltonian spaces with group-valued moment maps.
Source arXiv, math.DG/9905130
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