C0–Symplectic Geometry Under Displacements

DOI10.1080/1726037X.2018.1551717zbMath1499.53334OpenAlexW2945072165MaRDI QIDQ5029628

Stéphane Tchuiaga

Publication date: 14 February 2022

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1726037x.2018.1551717

zbMATH Keywords

mass flowfragmentationperfectnesssimplicityhomeomorphismsflux homomorphism\(C^0\)-symplectic topology

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Global theory of symplectic and contact manifolds (53D35) Isotopy in differential topology (57R52) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Topological geometries on manifolds (51H20)

Related Items (1)

\(C^0\)-transport of flux geometry

Cites Work

• Unnamed Item
• Uniqueness of generating Hamiltonians for topological Hamiltonian flows
• On the group of symplectic homeomorphisms
• The symplectic displacement energy
• The group of strong symplectic homeomorphisms in the \(L^{\infty}\)-metric
• The group of Hamiltonian homeomorphisms and \(C^0\)-symplectic topology
• Stable homeomorphisms and the annulus conjecture
• Deformations of spaces of imbeddings
• The Algebraic Simplicity of Certain Groups of Homeomorphisms
• On the uniqueness of generating Hamiltonian for continuous limits of Hamiltonians flows
• A Hofer-like metric on the group of symplectic diffeomorphisms
• Structure of the group of homeomorphisms preserving a good measure on a compact manifold
• Foliations and groups of diffeomorphisms
• Differential Topology
• On topological symplectic dynamical systems
• On symplectic dynamics
• On symplectic dynamics

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