Singular equivariant asymptotics and the momentum map. Residue formulae\n in equivariant cohomology

2013/10/07 by Pablo Ramacher, Ramacher, Pablo
Mathematics · #14E15 #53D20 #55N91 #58J37 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1310.1687

openalex publication_date 2013/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let M be a smooth manifold and G a compact connected Lie group acting on\nM by isometries. In this paper, we study the equivariant cohomology of bf\nX=T^\∗ M, and relate it to the cohomology of the Marsden-Weinstein reduced\nspace via certain residue formulae. In case that bf X is a compact\nsymplectic manifold with a Hamiltonian G-action, similar residue formulae\nwere derived by Jeffrey, Kirwan et al.\n

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