Pseudoholomorphic strips in symplectisations. I: Asymptotic behavior

DOI10.1016/j.anihpc.2003.01.004zbMath1073.53105arXivmath/0208151OpenAlexW1998600689MaRDI QIDQ1888406

Casim Abbas

Publication date: 23 November 2004

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208151

zbMATH Keywords

contact manifoldLegendrian knotchordsymplectisationpseudoholomorphic strip

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Global theory of symplectic and contact manifolds (53D35) Contact manifolds (general theory) (53D10) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Solutions to PDEs in closed form (35C05)

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Bordered Heegaard Floer homology

Cites Work

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• Existence of multiple normal mode trajectories on convex energy surfaces of even, classical Hamiltonian systems
• Libration in systems with many degrees of freedom
• Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three
• Pseudoholomorphic strips in symplectisations. III: Embedding properties and compactness
• Perturbation theory for linear operators.
• Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics
• Finite energy surfaces and the chord problem
• Symplectic manifolds and their Lagrangian submanifolds
• Normal modes for nonlinear Hamiltonian systems
• Periodische Bewegungen mechanischer Systeme
• First steps in symplectic topology
• A note on the existence of multiple brake orbits
• Holomorphic disks and the chord conjecture