A two-cocycle on the group of symplectic diffeomorphisms

Mathematics – Symplectic Geometry

Scientific paper

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16 pages, no figures

Scientific paper

10.1007/s00209-011-0884-9

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.

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