Rotation Vectors and Fixed Points of Area Preserving Surface Diffeomorphisms
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Publication:4890022
DOI10.1090/S0002-9947-96-01502-4zbMath0862.58006OpenAlexW1553074661MaRDI QIDQ4890022
Publication date: 25 May 1997
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01502-4
Related Items (20)
Symplectic Floer homology of area-preserving surface diffeomorphisms ⋮ Ergodic optimization for some dynamical systems beyond uniform hyperbolicity ⋮ Fully essential dynamics for area-preserving surface homeomorphisms ⋮ Area-preserving surface diffeomorphisms ⋮ Handel's fixed point theorem: a Morse theoretical point of view ⋮ A new proof of Handel's fixed-point theorem ⋮ A \(C^0\) counterexample to the Arnold conjecture ⋮ Some results of Hamiltonian homeomorphisms on closed aspherical surfaces ⋮ On the structure of rotation sets in hyperbolic surfaces ⋮ Existence of periodic points near an isolated fixed point with Lefschetz index one and zero rotation for area preserving surface homeomorphisms ⋮ Periodic points of Hamiltonian surface diffeomorphisms ⋮ Area preserving group actions on surfaces ⋮ A condition that implies full homotopical complexity of orbits for surface homeomorphisms ⋮ On variants of Arnold conjecture ⋮ Poincaré-Hopf index and partial hyperbolicity ⋮ A priori degeneracy of one-dimensional rotation sets for periodic point free torus maps ⋮ Transverse disks, symbolic dynamics, homology direction vectors, and Thurston-Nielson theory ⋮ The action spectrum and \(C^0\) symplectic topology ⋮ Rotation numbers and instability sets ⋮ Distortion elements in group actions on surfaces
Cites Work
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- Fixed points of measure preserving torus homeomorphisms
- Points fixes d'une application symplectique homologue à l'identité
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- Geodesics on \(S^ 2\) and periodic points of annulus homeomorphisms
- Shortening embedded curves
- A fixed-point theorem for planar homeomorphisms
- Entropy zero area preserving diffeomorphisms of \(S^{2}\)
- Measure-preserving homeomorphisms and metrical transitivity
- Recurrence and fixed points of surface homeomorphisms
- A new proof of the Brouwer plane translation theorem
- Zur Deckungsmonotonie von Inhaltsoperatoren
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