Abstract
We investigate a two-cocycle on the group of symplectic diffeomorphisms of an exact symplectic manifolds defined by Ismagilov, Losik, and Michor and investigate its properties. We provide both vanishing and non-vanishing results and applications to foliated symplectic bundles and to Hamiltonian actions of finitely generated groups.
Original language | English |
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Pages (from-to) | 693-706 |
Number of pages | 14 |
Journal | Mathematische Zeitschrift |
Volume | 271 |
Issue number | 3-4 |
Early online date | 13 May 2011 |
DOIs | |
Publication status | Published - Aug 2012 |
Keywords
- symplectic manifold
- Kähler cocycle
- foliation
- 53D05
- 572S5