Global surfaces of Section with positive genus for dynamically convex Reeb flows
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Publication:2155481
DOI10.1007/s11784-022-00950-zzbMath1496.32042arXiv2012.12055OpenAlexW3113804434WikidataQ125743214 ScholiaQ125743214MaRDI QIDQ2155481
Umberto L. Hryniewicz, Richard Siefring, Pedro A. S. Salomão
Publication date: 15 July 2022
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.12055
Periodic orbits of vector fields and flows (37C27) Pseudoholomorphic curves (32Q65) Symplectic field theory; contact homology (53D42) Contact systems (37J55)
Related Items
Surfaces of Section for Seifert fibrations, Reeb flows, pseudo-holomorphic curves and transverse foliations
Cites Work
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- Elliptic bindings for dynamically convex Reeb flows on the real projective three-space
- Cylindrical contact homology for dynamically convex contact forms in three dimensions
- Holomorphic open book decompositions
- On the existence of disk-like global sections for Reeb flows on the tight 3-sphere
- Intersection theory of punctured pseudoholomorphic curves
- Right-handed vector fields and the Lorenz attractor
- The geometry of cross sections to flows
- On genericity for holomorphic curves in four-dimensional almost-complex manifolds
- Cycles for the dynamical study of foliated manifolds and complex manifolds
- The dynamics on three-dimensional strictly convex energy surfaces
- Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three
- Compactness results in symplectic field theory
- The restricted three-body problem and holomorphic curves
- Which geodesic flows are left-handed?
- Reeb dynamics inspired by Katok's example in Finsler geometry
- Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics
- Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants
- Automatic transversality and orbifolds of punctured holomorphic curves in dimension four
- A Reeb flow on the three-sphere without a disk-like global surface of Section
- A note on Schwartzman-Fried-Sullivan Theory, with an application
- Asymptotic behavior for \(\mathcal{H}\)-holomorphic cylinders of small area
- Systems of global surfaces of section for dynamically convex Reeb flows on the 3-sphere
- Asymptotic cycles
- A dynamical characterization of universally tight lens spaces
- Relative asymptotic behavior of pseudoholomorphic half-cylinders
- A characterization of the tight 3-sphere II
- Finite energy cylinders of small area
- Fast finite-energy planes in symplectizations and applications
- Global hypersurfaces of section in the spatial restricted three-body problem