Real holomorphic curves and invariant global surfaces of section

DOI10.1112/plms/pdw003zbMath1339.53081arXiv1501.04853OpenAlexW2963332042MaRDI QIDQ2800461

Jungsoo Kang, Urs Adrian Frauenfelder

Publication date: 15 April 2016

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.04853

zbMATH Keywords

Conley-Zehnder indexfast finite energy planeinvariant global surface of sectionreal holomorphic curveRobins-Salamon index

Mathematics Subject Classification ID

Related Items (15)

Elliptic bindings for dynamically convex Reeb flows on the real projective three-space ⋮ Some progress on minimal period problems in reversible semi-positive Hamiltonian systems ⋮ Volume growth in the component of fibered twists ⋮ Symmetric periodic orbits and invariant disk-like global surfaces of section on the three-sphere ⋮ Equivariant wrapped Floer homology and symmetric periodic Reeb orbits ⋮ Refinements of Franks' theorem and applications in Reeb dynamics ⋮ Genus zero global surfaces of section for Reeb flows and a result of Birkhoff ⋮ Transverse foliations in the rotating Kepler problem ⋮ Multiple subharmonic solutions in Hamiltonian system with symmetries ⋮ Fredholm theory for pseudoholomorphic curves with brake symmetry ⋮ The growth of the number of periodic orbits for annulus homeomorphisms and non-contractible closed geodesics on Riemannian or Finsler \(\mathbb{R} P^2\) ⋮ A computation of the ring structure in wrapped Floer homology ⋮ On reversible maps and symmetric periodic points ⋮ Global surfaces of section for dynamically convex Reeb flows on lens spaces ⋮ Iteration formulae for brake orbit and index inequalities for real pseudoholomorphic curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the existence of disk-like global sections for Reeb flows on the tight 3-sphere
• Intersection theory of punctured pseudoholomorphic curves
• Contact homology and homotopy groups of the space of contact structures
• Compactness for punctured holomorphic curves
• Pseudo holomorphic curves in symplectic manifolds
• On genericity for holomorphic curves in four-dimensional almost-complex manifolds
• The local behaviour of holomorphic curves in almost complex 4-manifolds
• The dynamics on three-dimensional strictly convex energy surfaces
• Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three
• The Maslov index for paths
• Finite energy foliations of tight three-spheres and Hamiltonian dynamics
• Compactness results in symplectic field theory
• Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics
• Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants
• A characterisation of the tight three-sphere
• Automatic transversality and orbifolds of punctured holomorphic curves in dimension four
• Global surfaces of section in the planar restricted 3-body problem
• Systems of global surfaces of section for dynamically convex Reeb flows on the 3-sphere
• Multiple brake orbits in bounded convex symmetric domains
• On symmetries of compact Riemann surfaces with cyclic groups of automorphisms
• Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry
• Contact geometry of the restricted three-body problem
• Morse theory for periodic solutions of hamiltonian systems and the maslov index
• Fredholm theory and transversality for noncompact pseudoholomorphic mapsin symplectizations
• Corrigenda to: Introduction to Symplectic Topology
• The Conley–Zehnder indices of the rotating Kepler problem
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
• Fast finite-energy planes in symplectizations and applications

This page was built for publication: Real holomorphic curves and invariant global surfaces of section