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Equivariant symplectic Hodge theory and the dGδ-lemma

2003/10/03 by Yi Lin, Reyer Sjamaar
Mathematics · #math.SG #msc:53D20 #msc:58A12

paper · pdf

published as J. Symplectic Geometry 2 (2004), no. 2, 267-278 · 10 pages

arxiv created 2003/10/03 · arxiv updated 2009/12/01

Abstract

Consider a Hamiltonian action of a compact Lie group on a symplectic manifold which has the strong Lefschetz property. We establish an equivariant version of the Merkulov-Guillemin dδ-lemma and an improved version of the Kirwan-Ginzburg equivariant formality theorem, which says that every cohomology class has a canonical equivariant extension.

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