Geometry on the group of Hamiltonian diffeomorphisms.
Monotome Lagrange submanifolds of linear spaces and the Maslov class in cotangent bundles.
Hamiltonian loops from the ergodic point of view
Let be the group of Hamiltonian diffeomorphisms of a closed symplectic manifold . A loop is called strictly ergodic if for some irrational number the associated skew product map defined by is strictly ergodic. In the present paper we address the following question. Which elements of the fundamental group of can be represented by strictly ergodic loops? We prove existence of contractible strictly ergodic loops for a wide class of symplectic manifolds (for instance for simply connected...
Symplectic packings and algebraic geometry. (with an Appendix by Y. Karshon).
Hamiltonian systems, Lagrangian tori and Birkhoffs's theorem.
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