Lagrangian intersection under Legendrian deformations

DOI10.1215/S0012-7094-96-08509-9zbMath0868.58035MaRDI QIDQ1816476

Kaoru Ono

Publication date: 21 August 1997

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

zbMATH Keywords

Lagrangian intersectionsLegendrian deformations

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Global submanifolds (53C40) Topology of vector bundles and fiber bundles (57R22)

Related Items (7)

A note on Lagrangian intersections and Legendrian cobordism ⋮ Remarks on the oscillation energy of Legendrian isotopies ⋮ An Energy–Capacity inequality for Legendrian submanifolds ⋮ Multiplicity of Lagrangian orbits on symmetric star-shaped hypersurfaces ⋮ Quasimorphisms on contactomorphism groups and contact rigidity ⋮ Multiplicity of characteristics with Lagrangian boundary values on symmetric star-shaped hypersurfaces ⋮ CAPACITIES AND DISPLACEMENT ENERGY IN CONTACT HOFER GEOMETRY

Cites Work

• Lagrangian embeddings and critical point theory
• Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibré cotangent
• Morse theory for Lagrangian intersections
• Witten's complex and infinite dimensional Morse theory
• On the Arnold conjecture for weakly monotone symplectic manifolds
• Lagrangian intersections in contact geometry
• Symplectic manifolds with contact type boundaries
• A relative morse index for the symplectic action
• Intersection de sous-variétés lagrangiennes, fonctionnelles d'action et indice des systèmes hamiltoniens
• Floer cohomology of lagrangian intersections and pseudo‐holomorphic disks I
• Floer cohomology of lagrangian intersections and pseudo‐holomorphic disks II: (ℂ Pⁿ), ℝpⁿ
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