A Symplectic Fixed Point Theorem on Open Manifolds

DOI10.2307/2044043zbMath0504.58021OpenAlexW4241052464MaRDI QIDQ4741442

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Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2044043

zbMATH Keywords

symplectic diffeomorphismsequivariant homology and cohomologyAsimov counterexamplesHaefliger classmeasure preserving and orientation preserving homeomorphism of the open disk

Mathematics Subject Classification ID

Fixed-point theorems on manifolds (58C30) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (3)

Almost surely recurrent motions in the Euclidean space ⋮ Symplectic flows on the open ball ⋮ Area-Preserving Homeomorphisms of the Open Disk Without Fixed Points

Cites Work

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• Lagrangian submanifolds and Hamiltonian systems
• A bound for the fixed-point index of an area-preserving map with applications to mechanics
• A fixed point theorem in symplectic geometry
• Differential Topology
• Homeomorphisms of the open disk

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