Cohomological localization for transverse Lie algebra actions on Riemannian foliations

Yi Lin; Reyer Sjamaar

doi:10.1016/j.geomphys.2020.103887

Cohomological localization for transverse Lie algebra actions on Riemannian foliations

Yi Lin, Reyer Sjamaar

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We prove localization and integration formulas for the equivariant basic cohomology of Riemannian foliations. As a corollary we obtain a Duistermaat–Heckman theorem for transversely symplectic foliations.

Original language	English
Article number	103887
Journal	Journal of Geometry and Physics
Volume	158
DOIs	https://doi.org/10.1016/j.geomphys.2020.103887
State	Published - Dec 2020

Scopus Subject Areas

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

Keywords

Equivariant cohomology
Foliations
Localization

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10.1016/j.geomphys.2020.103887

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title = "Cohomological localization for transverse Lie algebra actions on Riemannian foliations",

abstract = "We prove localization and integration formulas for the equivariant basic cohomology of Riemannian foliations. As a corollary we obtain a Duistermaat–Heckman theorem for transversely symplectic foliations.",

keywords = "Equivariant cohomology, Foliations, Localization",

author = "Yi Lin and Reyer Sjamaar",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.",

year = "2020",

month = dec,

doi = "10.1016/j.geomphys.2020.103887",

language = "English",

volume = "158",

journal = "Journal of Geometry and Physics",

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T1 - Cohomological localization for transverse Lie algebra actions on Riemannian foliations

AU - Lin, Yi

AU - Sjamaar, Reyer

PY - 2020/12

Y1 - 2020/12

N2 - We prove localization and integration formulas for the equivariant basic cohomology of Riemannian foliations. As a corollary we obtain a Duistermaat–Heckman theorem for transversely symplectic foliations.

AB - We prove localization and integration formulas for the equivariant basic cohomology of Riemannian foliations. As a corollary we obtain a Duistermaat–Heckman theorem for transversely symplectic foliations.

KW - Equivariant cohomology

KW - Foliations

KW - Localization

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U2 - 10.1016/j.geomphys.2020.103887

DO - 10.1016/j.geomphys.2020.103887

M3 - Article

AN - SCOPUS:85090152738

SN - 0393-0440

VL - 158

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

M1 - 103887

ER -

Cohomological localization for transverse Lie algebra actions on Riemannian foliations

Abstract

Scopus Subject Areas

Keywords

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