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.


Published in:
Journal Of Geometry And Physics, 87, 305-313
Year:
2015
Publisher:
Amsterdam, Elsevier
ISSN:
0393-0440
Keywords:
Laboratories:




 Record created 2015-05-29, last modified 2018-09-13


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