Equivariant Symplectic Hodge Theory and the dGδ-Lemma

Yi Lin, Reyer Sjamaar

Research output: Contribution to journalArticlepeer-review

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 -lemma and an improved version of the Kirwan- Ginzburg equivariant formality theorem, which says that every cohomology class has a canonical equivariant extension.
Original languageAmerican English
JournalJournal of Symplectic Geometry
Volume2
DOIs
StatePublished - 2004

Disciplines

  • Mathematics

Keywords

  • Symplectic Hodge theory
  • dGδ-Lemma

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