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

Research output: Contribution to journal › Article › 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
State	Published - Feb 2018
Externally published	Yes

All Science Journal Classification (ASJC) codes

Applied Mathematics
General Mathematics

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10.1090/tran/7188

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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.",

author = "Yael Karshon and Fabian Ziltener",

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year = "2018",

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doi = "10.1090/tran/7188",

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AB - 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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DO - 10.1090/tran/7188

M3 - مقالة

SN - 0002-9947

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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

Abstract

All Science Journal Classification (ASJC) codes

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