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

Yael Karshon, Fabian Ziltener

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)1409-1428
Number of pages20
JournalTransactions of the American Mathematical Society
Volume370
Issue number2
DOIs
StatePublished - Feb 2018
Externally publishedYes

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