Hamiltonian group actions on exact symplectic manifolds with proper momentum maps are standard
classification
🧮 math.SG
keywords
hamiltonianmomentumpropersymplecticactionscompactexactgroup
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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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