Hamiltonian group actions on exact symplectic manifolds with proper momentum maps are standard.

Yael Karshon; Fabian Ziltener

doi:10.1090/tran/7188

Hamiltonian group actions on exact symplectic manifolds with proper momentum maps are standard.

Yael Karshon
, Fabian Ziltener

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

Abstract

We give a complete characterization of Hamiltonian actions of compact Lie groups on exact symplectic manifolds with proper momentum maps. We deduce that every Hamiltonian action of a compact Lie group on a contractible symplectic manifold with a proper momentum map is globally linearizable.

Original language	English
Pages (from-to)	1409-1428
Number of pages	20
Journal	Transactions of the American Mathematical Society
Volume	370
Issue number	2
DOIs	https://doi.org/10.1090/tran/7188
Publication status	Published - Feb 2018

Keywords

math.SG
53D20

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title = "Hamiltonian group actions on exact symplectic manifolds with proper momentum maps are standard.",

abstract = "We give a complete characterization of Hamiltonian actions of compact Lie groups on exact symplectic manifolds with proper momentum maps. We deduce that every Hamiltonian action of a compact Lie group on a contractible symplectic manifold with a proper momentum map is globally linearizable.",

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JF - Transactions of the American Mathematical Society

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Hamiltonian group actions on exact symplectic manifolds with proper momentum maps are standard.

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Keywords

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