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Cohomological properties of ruled symplectic structures

Francois Lalonde·Dusa McDuff
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Abstract

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.

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Francois Lalonde, Dusa McDuff. 2000-10-27. Cohomological properties of ruled symplectic structures. https://arxiv.org/abs/math/0010277

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