On hyperbolic points and periodic orbits of symplectomorphisms

DOI10.1112/jlms/jdu072zbMath1311.53068arXiv1310.1974OpenAlexW2023836582MaRDI QIDQ5175046

Marta Batoréo

Publication date: 19 February 2015

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

Full work available at URL: https://arxiv.org/abs/1310.1974

zbMATH Keywords

hyperbolic pointperiodic orbit of a symplectomorphism

Mathematics Subject Classification ID

Related Items (4)

Hamiltonian pseudo-rotations of projective spaces ⋮ On periodic points of symplectomorphisms on surfaces ⋮ The Conley conjecture and beyond ⋮ Non-contractible Periodic Orbits in Hamiltonian Dynamics on Closed Symplectic Manifolds

Cites Work

• Action-index relations for perfect Hamiltonian diffeomorphisms
• On primes and period growth for Hamiltonian diffeomorphisms
• The Conley conjecture for irrational symplectic manifolds
• Periodic orbits of Hamiltonian systems linear and hyperbolic at infinity
• The Conley conjecture
• Subharmonic solutions of Hamiltonian equations on tori
• Action and index spectra and periodic orbits in Hamiltonian dynamics
• Floer-Novikov cohomology and the flux conjecture
• Generalizations of the Poincaré-Birkhoff theorem
• Geodesics on \(S^ 2\) and periodic points of annulus homeomorphisms
• Symplectic fixed points, the Calabi invariant and Novikov homology. [Appendix C in collaboration with Lê Tu Quôc Thang]
• Area preserving homeomorphisms of open surfaces of genus zero
• Periodic points of Hamiltonian surface diffeomorphisms
• On the action spectrum for closed symplectically aspherical manifolds
• Symplectic invariants and Hamiltonian dynamics
• Hyperbolic fixed points and periodic orbits of Hamiltonian diffeomorphisms
• Periodic orbits of Hamiltonian homeomorphisms of surfaces
• On non-contractible periodic orbits of Hamiltonian diffeomorphisms
• Conley Conjecture for Negative Monotone Symplectic Manifolds
• Morse theory for periodic solutions of hamiltonian systems and the maslov index
• Infinite Loop Spaces (AM-90)
• A symplectic proof of a theorem of Franks

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