A \(C^0\) counterexample to the Arnold conjecture

DOI10.1007/s00222-018-0797-xzbMath1395.37037arXiv1609.09192OpenAlexW2524294189WikidataQ123118973 ScholiaQ123118973MaRDI QIDQ1656358

Vincent Humilière, Sobhan Seyfaddini, Lev Buhovsky

Publication date: 10 August 2018

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.09192

zbMATH Keywords

Hamiltonian dynamicsArnold conjecture\(C^0\) symplectic geometrysymplectic and Hamiltonian homeomorphisms

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Canonical transformations in symplectic and contact geometry (53D22)

Related Items (11)

An Arnold-type principle for non-smooth objects ⋮ Quantitative \(h\)-principle in symplectic geometry ⋮ Homogeneous quasimorphisms, \(C^0\)-topology and Lagrangian intersection ⋮ Generalizations of the action function in symplectic geometry ⋮ Some results of Hamiltonian homeomorphisms on closed aspherical surfaces ⋮ Proof of the simplicity conjecture ⋮ Rigid and Flexible Facets of Symplectic Topology ⋮ On variants of Arnold conjecture ⋮ The persistence of the Chekanov-Eliashberg algebra ⋮ The action spectrum and \(C^0\) symplectic topology ⋮ -rigidity of Lagrangian submanifolds and punctured holomorphic disks in the cotangent bundle

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