1999/05/20 by Anton Alekseev, Eckhard Meinrenken, Alekseev, Anton +3
Computer Science · Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Analysis and Transform Methods #Quantum Algebra (math.QA) #Topological and Geometric Data Analysis #hep-th #math.DG #math.QA
paper · pdf · doi:10.48550/arxiv.math/9905130
31 pages
arxiv created 1999/05/20 · openalex publication_date 1999/05/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We 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.