Journal 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.


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