Torsion contact forms in three dimensions have two or infinitely many Reeb orbits
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Publication:2285044
DOI10.2140/gt.2019.23.3601zbMath1432.53106arXiv1701.02262OpenAlexW3098163215WikidataQ126395946 ScholiaQ126395946MaRDI QIDQ2285044
Publication date: 16 January 2020
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.02262
Related Items (22)
Contact geometry in the restricted three-body problem: a survey ⋮ Quantitative Heegaard Floer cohomology and the Calabi invariant ⋮ ECH capacities and the Ruelle invariant ⋮ A dichotomy result for closed characteristics on compact star-shaped hypersurfaces in \(\mathbf{R}^{2n}\) ⋮ Volume-preserving right-handed vector fields are conformally Reeb ⋮ Refinements of Franks' theorem and applications in Reeb dynamics ⋮ Genus zero global surfaces of section for Reeb flows and a result of Birkhoff ⋮ Contact three-manifolds with exactly two simple Reeb orbits ⋮ Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond ⋮ Multiplicity of closed geodesics on bumpy Finsler manifolds with elliptic closed geodesics ⋮ Singular cotangent models in fluids with dissipation ⋮ Existence of a positive hyperbolic Reeb orbit in three spheres with finite free group actions ⋮ On the existence of supporting broken book decompositions for contact forms in dimension 3 ⋮ Index iteration theories for periodic orbits: old and new ⋮ Dynamical systems. Abstracts from the workshop held July 11--17, 2021 (hybrid meeting) ⋮ The growth of the number of periodic orbits for annulus homeomorphisms and non-contractible closed geodesics on Riemannian or Finsler \(\mathbb{R} P^2\) ⋮ Reeb dynamics inspired by Katok's example in Finsler geometry ⋮ Sub-leading asymptotics of ECH capacities ⋮ Floer homologies, with applications ⋮ Remarks about the \(C^{\infty }\)-closing lemma for 3-dimensional Reeb flows ⋮ Global surfaces of section for dynamically convex Reeb flows on lens spaces ⋮ Controlled Reeb dynamics -- three lectures not in Cala Gonone
Cites Work
- Proof of the Arnold chord conjecture in three dimensions. II
- Cylindrical contact homology for dynamically convex contact forms in three dimensions
- Embedded contact homology and Seiberg-Witten Floer cohomology. I.
- Embedded contact homology and Seiberg-Witten Floer cohomology. III.
- Quantitative embedded contact homology
- A \({C^\infty}\) closing lemma for Hamiltonian diffeomorphisms of closed surfaces
- Dense existence of periodic Reeb orbits and ECH spectral invariants
- Compactness for embedded pseudoholomorphic curves in 3-manifolds
- The Weinstein conjecture for stable Hamiltonian structures
- Gluing pseudoholomorphic curves along branched covered cylinders. II.
- The dynamics on three-dimensional strictly convex energy surfaces
- Finite energy foliations of tight three-spheres and Hamiltonian dynamics
- Mean action and the Calabi invariant
- An index inequality for embedded pseudoholomorphic curves in symplectizations
- Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants
- Reeb vector fields and open book decompositions
- Automatic transversality and orbifolds of punctured holomorphic curves in dimension four
- The Seiberg-Witten equations and the Weinstein conjecture
- Gluing pseudoholomorphic curves along branched covered cylinders. I
- The asymptotics of ECH capacities
- Measure-preserving homeomorphisms and metrical transitivity
- Lecture Notes on Embedded Contact Homology
- Measures on Sigma-Compact Manifolds and their Equivalence Under Homeomorphisms
- Fast finite-energy planes in symplectizations and applications
- Taubes’s proof of the Weinstein conjecture in dimension three
- From one Reeb orbit to two
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