Homologie de Shih d'une submersion (homologies non singulières des variétés feuilletées)
Isotopy of sympletic balls, Gromov' s radius and the structure of ruled symplectic 4-manifolds.
Classes caractéristiques isotropes.
Hofer's L...-geometry: energy and stability of Hamiltonian flows, part I.
Hofer's L...-geometry: energy and stability of Hamiltonian flows, part II.
Length minimizing Hamiltonian paths for symplectically aspherical manifolds
In this note we consider the length minimizing properties of Hamiltonian paths generated by quasi-autonomous Hamiltonians on symplectically aspherical manifolds. Motivated by the work of Polterovich and Schwarz, we study the role, in the Floer complex of the generating Hamiltonian, of the global extrema which remain fixed as the time varies. Our main result determines a natural condition which implies that the corresponding path minimizes the positive Hofer length. We use this to prove that a quasi-autonomous Hamiltonian...
Sous-variétés lagrangiennes et lagrangiennes exactes des fibrés cotangents.
A field theory for symplectic fibrations over surfaces.
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