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Equivariant symplectic Hodge theory and the $d_Gδ$-lemma

Yi Lin·Reyer Sjamaar
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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 \emph{canonical} equivariant extension.

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Yi Lin, Reyer Sjamaar. 2003-10-03. Equivariant symplectic Hodge theory and the $d_Gδ$-lemma. https://arxiv.org/abs/math/0310048

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