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arXiv · 1607.03627

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

Yael Karshon·Fabian Ziltener
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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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Yael Karshon, Fabian Ziltener. 2016-07-13. Hamiltonian group actions on exact symplectic manifolds with proper momentum maps are standard. https://arxiv.org/abs/1607.03627

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