The Conley conjecture and beyond

DOI10.1007/s40598-015-0017-3zbMath1332.53105arXiv1411.7723OpenAlexW2964330433WikidataQ123286278 ScholiaQ123286278MaRDI QIDQ500664

Viktor L. Ginzburg, Başak Z. Gürel

Publication date: 5 October 2015

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7723

zbMATH Keywords

periodic orbitsFloer homologyConley conjectureReeb flowsHamiltonian diffeomorphisms

Mathematics Subject Classification ID

Related Items (24)

Multiplicity of closed Reeb orbits on prequantization bundles ⋮ Contact geometry in the restricted three-body problem: a survey ⋮ A generalized Poincaré-Birkhoff theorem ⋮ Hamiltonian pseudo-rotations of projective spaces ⋮ Relative Hofer-Zehnder capacity and positive symplectic homology ⋮ Another look at the Hofer-Zehnder conjecture ⋮ Lusternik-Schnirelmann theory and closed Reeb orbits ⋮ From 2\(N\) to infinitely many escape orbits ⋮ S1$S^1$‐equivariant contact homology for hypertight contact forms ⋮ On periodic points of symplectomorphisms on surfaces ⋮ Non-resonant circles for strong magnetic fields on surfaces ⋮ On the existence of supporting broken book decompositions for contact forms in dimension 3 ⋮ Dynamical systems. Abstracts from the workshop held July 11--17, 2021 (hybrid meeting) ⋮ Random chain complexes ⋮ Pseudo-rotations and holomorphic curves ⋮ The conjugation method in symplectic dynamics ⋮ On the generic Conley conjecture ⋮ Multiplicity of periodic orbits for dynamically convex contact forms ⋮ Non-contractible Periodic Orbits in Hamiltonian Dynamics on Closed Symplectic Manifolds ⋮ Floer homologies, with applications ⋮ On the filtered symplectic homology of prequantization bundles ⋮ Approximate identities and Lagrangian Poincaré recurrence ⋮ Mean action of periodic orbits of area-preserving annulus diffeomorphisms ⋮ On the Hofer–Zehnder conjecture on weighted projective spaces

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