EQUIVARIANT SYMPLECTIC HOMOLOGY AND MULTIPLE CLOSED REEB ORBITS
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Publication:5397553
DOI10.1142/S0129167X13500961zbMath1312.53110arXiv1305.1245OpenAlexW2963264442MaRDI QIDQ5397553
Publication date: 24 February 2014
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.1245
Contact manifolds (general theory) (53D10) Differentiable structures in differential topology (57R55) Symplectic aspects of Floer homology and cohomology (53D40)
Related Items (7)
Multiplicity of closed Reeb orbits on prequantization bundles ⋮ Volume growth in the component of fibered twists ⋮ Invariance of symplectic cohomology and twisted cotangent bundles over surfaces ⋮ On the minimal number of periodic orbits on some hypersurfaces in \(\mathbb{R}^{2n}\) ⋮ Perfect Reeb flows and action-index relations ⋮ Periodic Reeb orbits on prequantization bundles ⋮ Two closed orbits for non-degenerate Reeb flows
Cites Work
- Unnamed Item
- Closed Reeb orbits on the sphere and symplectically degenerate maxima
- On contact manifolds
- The Weinstein conjecture for stable Hamiltonian structures
- A Floer homology for exact contact embeddings
- Convex Hamiltonian energy surfaces and their periodic trajectories
- On the number of periodic trajectories for a Hamiltonian flow on a convex energy surface
- On the hypotheses of Rabinowitz' periodic orbit theorems
- The dynamics on three-dimensional strictly convex energy surfaces
- The Maslov index for paths
- Symplectic submanifolds and almost-complex geometry
- Finite energy foliations of tight three-spheres and Hamiltonian dynamics
- Closed characteristics on compact convex hypersurfaces in \(\mathbb{R}^{2n}\)
- Cylindrical contact homology of subcritical Stein-fillable contact manifolds
- Floer homology of connected sum of homology 3-spheres
- Displaceability and the mean Euler characteristic
- Functors and computations in Floer homology with applications. I
- Resonance identity, stability, and multiplicity of closed characteristics on compact convex hypersurfaces
- Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces
- Rabinowitz Floer homology and symplectic homology
- LEAF-WISE INTERSECTIONS AND RABINOWITZ FLOER HOMOLOGY
- Existence of multiple periodic orbits on star‐shaped hamiltonian surfaces
- Morse theory for periodic solutions of hamiltonian systems and the maslov index
- Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
- An Introduction to Contact Topology
- Topological quantum field theory structure on symplectic cohomology
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