SU\G(𝔸)/K·U

Equivariant symplectic Hodge theory and the <i>d</i><sub><i>G</i></sub><i>δ</i>-lemma

Yi Lin, Reyer Sjamaar

Type: Article

Publication Date: 2004-01-01

Citations: 13

DOI: https://doi.org/10.4310/jsg.2004.v2.n2.a5

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.

Locations

  • Journal of Symplectic Geometry - View - PDF

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Works Cited by This (8)

Action Title Year Authors
+ Formality of canonical symplectic complexes and Frobenius manifolds 1998 Sergei Merkulov
+ Supersymmetry and Equivariant de Rham Theory 1999 Victor Guillemin
Shlomo Sternberg
Jochen Brüning
+ A differential complex for Poisson manifolds 1988 Jean-Luc Brylinski
+ Cohomology of Quotients in Symplectic and Algebraic Geometry 1984 Frances Kirwan
+ Differential Forms in Algebraic Topology 1982 Raoul Bott
Loring W. Tu
+ Hodge Structure on Symplectic Manifolds 1996 Yan Dong
+ Harmonic cohomology classes of symplectic manifolds 1995 Olivier Mathieu
+ None 1998 Sergei Merkulov