6 papers · 1 filter
A relative Seidel morphism and the Albers map
Shengda Hu, Francois Lalonde
In this note, we introduce a relative (or Lagrangian) version of the Seidel homomorphism that assigns to each homotopy class of paths in Ham(M), starting at the identity and ending…
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…
The homotopy type of the space of symplectic balls in above the critical value
Sylvia Anjos, Francois Lalonde
We compute in this note the full homotopy type of the space of symplectic embeddings of the standard ball (where is the capacity of the standard bal…
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…