Symplectic intersections and invariant measures

DOI10.1007/s40316-014-0014-2zbMath1297.53060arXiv1309.6408OpenAlexW2038341443MaRDI QIDQ742921

Leonid Polterovich

Publication date: 19 September 2014

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6408

zbMATH Keywords

Poisson bracketinvariant measuresymplectic manifoldHamiltonian flowrotation vectorssymplectic intersections

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35)

Related Items

Rigid fibers of integrable systems on cotangent bundles ⋮ Mather theory and symplectic rigidity ⋮ Non-contractible orbits for Hamiltonian functions on Riemann surfaces

Cites Work

• Poisson brackets and symplectic invariants
• A geometric criterion for generating the Fukaya category
• Non-contractible periodic orbits of Hamiltonian flows on twisted cotangent bundles
• Action minimizing invariant measures for positive definite Lagrangian systems
• Morse theory for Lagrangian intersections
• Cycles for the dynamical study of foliated manifolds and complex manifolds
• Propagation in Hamiltonian dynamics and relative symplectic homology
• Holomorphic cylinders with Lagrangian boundaries and Hamiltonian dynamics
• Noncontractible periodic orbits in cotangent bundles and Floer homology
• Asymptotic cycles
• Rigid subsets of symplectic manifolds
• Lagrangian Quantum Homology
• Rotation Sets for Homeomorphisms and Homology
• Corrigenda to: Introduction to Symplectic Topology