5 papers
Cluster Homology
Octav Cornea, Francois Lalonde
We assign, to a Langrangian submanifold , a new homology which manages the bubbling of disks by means of auxiliary Morse data. This invariant of the Hamiltonian isotopy class of…
Length minimizing Hamiltonian paths for symplectically aspherical manifolds
Ely Kerman, Francois Lalonde
In this paper we consider the length minimizing properties of Hamiltonian paths generated by quasi-autonomous Hamiltonians on symplectically aspherical manifolds. Motivated by the…
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…
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…
Topological rigidity of Hamiltonian loops and quantum homology
François Lalonde, Dusa McDuff, Leonid Polterovich
This paper studies the question of when a loop in the group Symp of symplectomorphisms of a symplectic manifold is isotopic to a loop that is generated by a time…