Local Floer homology and infinitely many simple Reeb orbits
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Publication:691531
DOI10.2140/agt.2012.12.1901zbMath1253.53078arXiv1202.0528OpenAlexW2020008535MaRDI QIDQ691531
Publication date: 3 December 2012
Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.0528
Contact manifolds (general theory) (53D10) Symplectic aspects of Floer homology and cohomology (53D40) Geodesic flows in symplectic geometry and contact geometry (53D25)
Related Items (20)
On the existence of infinitely many invariant Reeb orbits ⋮ Closed Reeb orbits on the sphere and symplectically degenerate maxima ⋮ On the Hofer-Zehnder conjecture ⋮ Lusternik-Schnirelmann theory and closed Reeb orbits ⋮ Bifurcations of symmetric periodic orbits via Floer homology ⋮ Entropy collapse versus entropy rigidity for Reeb and Finsler flows ⋮ Hamiltonian no-torsion ⋮ Generalized periodic orbits of the time-periodically forced Kepler problem accumulating at the center and of circular and elliptic restricted three-body problems ⋮ Hyperbolic fixed points and periodic orbits of Hamiltonian diffeomorphisms ⋮ On manifolds with infinitely many fillable contact structures ⋮ Multiplicity of periodic orbits for dynamically convex contact forms ⋮ Non-contractible Periodic Orbits in Hamiltonian Dynamics on Closed Symplectic Manifolds ⋮ Pseudo-rotations and Steenrod squares ⋮ On the symplectic cohomology of log Calabi-Yau surfaces ⋮ Two closed orbits for non-degenerate Reeb flows ⋮ Splitting lemmas for the Finsler energy functional on the space ofH1-curves ⋮ Symplectic cohomology rings of affine varieties in the topological limit ⋮ Local contact homology and applications ⋮ Iterated index and the mean Euler characteristic ⋮ On the Conley conjecture for Reeb flows
Cites Work
- Unnamed Item
- Unnamed Item
- The growth rate of symplectic homology and affine varieties
- Target-local Gromov compactness
- The Conley conjecture
- A cotangent fibre generates the Fukaya category
- Local Floer homology and the action gap
- The Künneth formula in Floer homology for manifolds with restricted contact type boundary
- An open string analogue of Viterbo functoriality
- Floer homology and the heat flow
- Floer homology of cotangent bundles and the loop product
- Lefschetz fibrations and symplectic homology
- The homology theory of the closed geodesic problem
- Compactness results in symplectic field theory
- Handle attaching in symplectic homology and the chord conjecture
- Transversality in elliptic Morse theory for the symplectic action
- Functors and computations in Floer homology with applications. I
- Periodic geodesics on compact Riemannian manifolds
- On the Floer homology of cotangent bundles
- A biased view of symplectic cohomology
- Morse theory for periodic solutions of hamiltonian systems and the maslov index
- Local contact homology and applications
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