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math.SG2010★ 4 cited
A two-cocycle on the group of symplectic diffeomorphisms
Światosław R. Gal, Jarek Kędra
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…
math.SG2010★ 6 cited
On the algebraic independence of Hamiltonian characteristic classes
Swiatoslaw Gal, Jarek Kedra, Aleksy Tralle
We prove that Hamiltonian characteristic classes defined as fibre integrals of powers of the coupling class are algebraically independent for generic coadjoint orbits.