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math.SG2000
Cohomological properties of ruled symplectic structures
Francois Lalonde, Dusa McDuff
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 wit…
math.SG2000
Symplectic Structures on Fiber Bundles
Francois Lalonde, Dusa McDuff
Let be a locally trivial fiber bundle over a connected CW complex with fiber equal to the closed symplectic manifold $(M,\om)$. Then is said to be a symplectic…
math.SG2000
Symplectomorphism groups and almost complex structures
Dusa McDuff
This paper studies groups of symplectomorphisms of ruled surfaces for symplectic forms with varying cohomology class. This class is characterized by the ratio R of the size of the…