Some results of Hamiltonian homeomorphisms on closed aspherical surfaces
DOI10.1016/j.aim.2020.107307zbMath1453.37037arXiv1602.02382OpenAlexW3045862983MaRDI QIDQ2196618
Publication date: 3 September 2020
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.02382
aspherical manifoldgroup of symplectic diffeomorphismsHamiltonian homeomorphisms\(C^0\)-Schwarz's theoremgeneralized action functiontransverse foliations for dynamical systems of surfaces
Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Symplectic aspects of Floer homology and cohomology (53D40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Rotation numbers and vectors (37E45) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
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