Equivariant Symplectic Hodge Theory and the dGδ-Lemma

Yi Lin; Reyer Sjamaar

doi:10.4310/JSG.2004.v2.n2.a5

Equivariant Symplectic Hodge Theory and the dGδ-Lemma

Yi Lin
, Reyer Sjamaar

Mathematical Sciences

Cornell University

Research output: Contribution to journal › Article › peer-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 dδ -lemma and an improved version of the Kirwan- Ginzburg equivariant formality theorem, which says that every cohomology class has a canonical equivariant extension.

Original language	American English
Journal	Journal of Symplectic Geometry
Volume	2
DOIs	https://doi.org/10.4310/JSG.2004.v2.n2.a5
State	Published - 2004

Disciplines

Mathematics

Keywords

Symplectic Hodge theory
dGδ-Lemma

Access to Document

10.4310/JSG.2004.v2.n2.a5License: Unspecified

Cite this

@article{898758bdd2054d6abf1b328467f3a761,

title = "Equivariant Symplectic Hodge Theory and the dGδ-Lemma",

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.",

keywords = "Symplectic Hodge theory, dGδ-Lemma",

author = "Yi Lin and Reyer Sjamaar",

note = "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.",

year = "2004",

doi = "10.4310/JSG.2004.v2.n2.a5",

language = "American English",

volume = "2",

journal = "Journal of Symplectic Geometry",

issn = "1527-5256",

publisher = "International Press of Boston, Inc.",

}

TY - JOUR

T1 - Equivariant Symplectic Hodge Theory and the dGδ-Lemma

AU - Lin, Yi

AU - Sjamaar, Reyer

N1 - 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.

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

KW - Symplectic Hodge theory

KW - dGδ-Lemma

UR - https://doi.org/10.4310/JSG.2004.v2.n2.a5

U2 - 10.4310/JSG.2004.v2.n2.a5

DO - 10.4310/JSG.2004.v2.n2.a5

M3 - Article

SN - 1527-5256

VL - 2

JO - Journal of Symplectic Geometry

JF - Journal of Symplectic Geometry

ER -

Equivariant Symplectic Hodge Theory and the dGδ-Lemma

Abstract

Disciplines

Keywords

Access to Document

Other files and links

Fingerprint

Cite this