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research article
L-2-cohomology and complete Hamiltonian manifolds
A classical theorem of Frankel for compact Kahler manifolds states that a Kahler S-1-action is Hamiltonian if and only if it has fixed points. We prove a metatheorem which says that when the Hodge theory holds on non-compact manifolds, Frankel's theorem still holds. Finally, we present several concrete situations in which the assumptions of the metatheorem hold. (C) 2014 Elsevier B.V. All rights reserved.
Type
research article
Web of Science ID
WOS:000347760000024
Authors
Publication date
2015
Publisher
Published in
Volume
87
Start page
305
End page
313
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
May 29, 2015
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