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math.SG2004
Triviality of symplectic SU(2)-actions on homology
Yildiray Ozan
Lalonde and McDuff showed that the natural action of the rational homology of the group of Hamiltonian diffeomorphisms of a closed symplectic manifold on the rational homo…
math.SG2003
Relative Flux Homomorphism in Symplectic Geometry
Yildiray Ozan
In this work we define a relative version of the flux homomorphism, introduced by Calabi in 1969, for a symplectic manifold. We use it to study (the universal cover of) the group o…
math.SG2003
On cohomology of invariant submanifolds of Hamiltonian actions
Yildiray Ozan
In this note we prove the following theorem: Let be a compact Lie group acting on a compact symplectic manifold in a Hamiltonian fashion. If is an -dimensional close…