Mathematics – Symplectic Geometry
Scientific paper
2000-10-27
Mathematics
Symplectic Geometry
25 pages, Latex, survey article
Scientific paper
This survey presents some recent results by the authors and Polterovich on the topological properties of ruled symplectic manifolds. The bundle M \to P \to B that is associated with a ruled manifold has the group of Hamiltonian symplectomorphisms of M as structure group if the base is simply connected. Thus information about Hamiltonian bundles gives stability results for ruled structures as well as obstructions to their existence.
Lalonde François
McDuff Dusa
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