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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

   
 
 

 

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


Authors: Yael Karshon and Fabian Ziltener
Journal: Trans. Amer. Math. Soc.
MSC (2010): Primary 53D20
DOI: https://doi.org/10.1090/tran/7188
Published electronically: October 5, 2017
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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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Additional Information

Yael Karshon
Affiliation: Department of Mathematics, University of Toronto, 40 St. George Street, Toronto, Ontario M5S 2E4, Canada
Email: karshon@math.toronto.edu

Fabian Ziltener
Affiliation: Department of Mathematics, Utrecht University, Budapestlaan 6, 3584CD Utrecht, The Netherlands
Email: f.ziltener@uu.nl

DOI: https://doi.org/10.1090/tran/7188
Received by editor(s): July 13, 2016
Received by editor(s) in revised form: January 16, 2017
Published electronically: October 5, 2017
Additional Notes: This research was partially funded by the Natural Sciences and Engineering Research Council of Canada (NSERC)
Article copyright: © Copyright 2017 by Y. Karshon and F. Ziltener