Mathematics – Symplectic Geometry
Scientific paper
2010-10-04
Mathematics
Symplectic Geometry
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.
Gal Światosław R.
Kedra Jarek
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