Holomorphic cylinders with Lagrangian boundaries and Hamiltonian dynamics

DOI10.1215/S0012-7094-00-10236-0zbMath0966.37031OpenAlexW2037849501MaRDI QIDQ1567174

Daniel Gatien, François Lalonde

Publication date: 26 November 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-00-10236-0

zbMATH Keywords

periodic orbithomotopy classHamiltonian flowholomorphic cylinders

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items

A field theory for symplectic fibrations over surfaces, Relative Hofer-Zehnder capacity and positive symplectic homology, Poisson brackets and symplectic invariants, Propagation in Hamiltonian dynamics and relative symplectic homology, Symplectic deformations of Floer homology and non-contractible periodic orbits in twisted disc bundles, Floer homology in the cotangent bundle of a closed Finsler manifold and noncontractible periodic orbits, Non-contractible Periodic Orbits in Hamiltonian Dynamics on Closed Symplectic Manifolds, Noncontractible periodic orbits in cotangent bundles and Floer homology, Symplectic intersections and invariant measures, On non-contractible periodic orbits for surface homeomorphisms, Cluster homology: An overview of the construction and results

Cites Work

• Examples of symplectic structures
• Quelques remarques sur les surfaces lagrangiennes de Givental. (Some remarks on Givental's lagrangian surfaces)
• Pseudo holomorphic curves in symplectic manifolds
• On genericity for holomorphic curves in four-dimensional almost-complex manifolds
• Complex structures on tangent bundles of Riemannian manifolds
• Lagrangian suppression of double points and symplectic rigidity
• Holomorphic curves in symplectic geometry
• Symplectic manifolds with contact type boundaries
• Partial Differential Relations
• Removal of boundary singularities of pseudo‐holomorphic curves with Lagrangian boundary conditions
• The weinstein conjecture in the presence of holomorphic spheres
• An Infinite Dimensional Version of Sard's Theorem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item