Action and periodic orbits of area-preserving diffeomorphisms

DOI10.1016/j.jde.2024.01.026OpenAlexW4391709745MaRDI QIDQ6193743

Zhihong Xia, Huadi Qu

Publication date: 19 March 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2024.01.026

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Symplectic geometry, contact geometry (53Dxx) Differential topology (57Rxx)

Cites Work

• A \({C^\infty}\) closing lemma for Hamiltonian diffeomorphisms of closed surfaces
• Proof of the Arnold conjecture for surfaces and generalizations to certain Kähler manifolds
• Periodic points of Hamiltonian surface diffeomorphisms
• Mean action and the Calabi invariant
• Symplectic fixed points and holomorphic spheres
• Reeb vector fields and open book decompositions
• The asymptotics of ECH capacities
• Lecture Notes on Embedded Contact Homology
• Mean action of periodic orbits of area-preserving annulus diffeomorphisms

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