Lagrangian intersections, symplectic energy, and areas of holomorphic curves
From MaRDI portal
Publication:1974861
DOI10.1215/S0012-7094-98-09506-0zbMath0977.53077MaRDI QIDQ1974861
Publication date: 27 March 2000
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Spaces of embeddings and immersions (58D10) Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40)
Related Items (38)
Hamiltonian pseudo-rotations of projective spaces ⋮ Some quantitative results in \(\mathcal {C}^0\) symplectic geometry ⋮ Lagrangian product tori in symplectic manifolds ⋮ On the rigidity of the coisotropic Maslov index on certain rational symplectic manifolds ⋮ Hofer geometry of a subset of a symplectic manifold ⋮ Lagrangian Floer theory on compact toric manifolds. I. ⋮ Rigid constellations of closed Reeb orbits ⋮ Diffeomorphism type of symplectic fillings of unit cotangent bundles ⋮ Action spectrum and Hofer's distance between Lagrangian submanifolds. ⋮ Sheaf quantization and intersection of rational Lagrangian immersions ⋮ Floer theory and reduced cohomology on open manifolds ⋮ Remarks on the oscillation energy of Legendrian isotopies ⋮ Coisotropic displacement and small subsets of a symplectic manifold ⋮ An Energy–Capacity inequality for Legendrian submanifolds ⋮ Quelques plats pour la métrique de Hofer ⋮ Displaceability of certain constant sectional curvature Lagrangian submanifolds ⋮ Geodesics on the space of Lagrangian submanifolds in cotangent bundles ⋮ Submanifolds and the Hofer norm ⋮ Geodesics of Hofer's metric on the space of Lagrangian submanifolds ⋮ Coisotropic intersections ⋮ Towards the \(C^{0}\) flux conjecture ⋮ Some remarks on Lagrangian tori ⋮ Multiplicity of Lagrangian orbits on symmetric star-shaped hypersurfaces ⋮ Lagrangian non-squeezing and a geometric inequality ⋮ Topology of (small) Lagrangian cobordisms ⋮ Boundary depth in Floer theory and its applications to Hamiltonian dynamics and coisotropic submanifolds ⋮ The persistence of the Chekanov-Eliashberg algebra ⋮ Cup-length estimate for Lagrangian intersections ⋮ Metric and isoperimetric problems in symplectic geometry ⋮ Cuplength estimates in Morse cohomology ⋮ Mather theory and symplectic rigidity ⋮ Note on coisotropic Floer homology and leafwise fixed points ⋮ Multiplicity of characteristics with Lagrangian boundary values on symmetric star-shaped hypersurfaces ⋮ Bounds on spectral norms and barcodes ⋮ Symplectic topology in the nineties ⋮ -rigidity of Lagrangian submanifolds and punctured holomorphic disks in the cotangent bundle ⋮ Fixed points of non-Hamiltonian symplectomorphisms. ⋮ Lagrangian embeddings into subcritical Stein manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lagrangian embeddings and critical point theory
- Pseudo holomorphic curves in symplectic manifolds
- 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
- Symplectic fixed points and holomorphic spheres
- The geometry of symplectic energy
- Symplectic displacement energy for Lagrangian submanifolds
- On the topological properties of symplectic maps
- The unregularized gradient flow of the symplectic action
- Removal of boundary singularities of pseudo‐holomorphic curves with Lagrangian boundary conditions
- Morse theory for periodic solutions of hamiltonian systems and the maslov index
This page was built for publication: Lagrangian intersections, symplectic energy, and areas of holomorphic curves
