Symplectic intersections and invariant measures

Abstract

We detect, by using symplectic topology, invariant measures with large rotation vectors for a class of Hamiltonian flows.

15 pages. Major revision (simplified and generalized)

References in corpus (3)

• Rigid subsets of symplectic manifolds
• Non-contractible periodic orbits, Gromov invariants, and Floer-theoretic torsions
• Existence, uniqueness, and minimality of the Jordan measure decomposition