A two-cocycle on the group of symplectic diffeomorphisms

Swiatoslaw Gal, Jarek Kedra

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)
9 Downloads (Pure)

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 languageEnglish
Pages (from-to)693-706
Number of pages14
JournalMathematische Zeitschrift
Volume271
Issue number3-4
Early online date13 May 2011
DOIs
Publication statusPublished - Aug 2012

Keywords

  • symplectic manifold
  • Kähler cocycle
  • foliation
  • 53D05
  • 572S5

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