Skip to Main content Skip to Navigation
Journal articles

L^2-cohomology and complete Hamiltonian manifolds

Abstract : A classical theorem of Frankel for compact Kähler manifolds states that a Kähler 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.
Document type :
Journal articles
Complete list of metadata

Cited literature [32 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01397877
Contributor : Christian Cardillo <>
Submitted on : Wednesday, November 16, 2016 - 2:13:20 PM
Last modification on : Thursday, February 25, 2021 - 9:46:04 AM
Long-term archiving on: : Thursday, March 16, 2017 - 4:20:30 PM

File

hamiltonmanifolds.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01397877, version 1

Collections

Citation

Rafe Mazzeo, Álvaro Pelayo, Tudor S. Ratiu. L^2-cohomology and complete Hamiltonian manifolds. Journal of Geometry and Physics, Elsevier, 2015, 87, pp.305-313. ⟨hal-01397877⟩

Share

Metrics

Record views

189

Files downloads

86