Hamiltonian group actions on exact symplectic manifolds with proper momentum maps are standard
Symplectic Geometry
2016-07-14 v1
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.
Cite
@article{arxiv.1607.03627,
title = {Hamiltonian group actions on exact symplectic manifolds with proper momentum maps are standard},
author = {Yael Karshon and Fabian Ziltener},
journal= {arXiv preprint arXiv:1607.03627},
year = {2016}
}
Comments
20 pages