Fixed points of abelian actions on S2

DOI10.1017/S0143385706001088zbMath1143.37030arXivmath/0509574MaRDI QIDQ5424918

John Franks, Michael Handel, Kamlesh Parwani

Publication date: 7 November 2007

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509574

zbMATH Keywords

common fixed pointssurface dynamicsabelian group action

Mathematics Subject Classification ID

Related Items (10)

Existence of common zeros for commuting vector fields on three manifolds ⋮ Localisation of common fixed points for commuting diffeomorphisms of the plane ⋮ Finite orbits for nilpotent actions on the torus ⋮ Bounded orbits and global fixed points for groups acting on the plane ⋮ Global fixed points for nilpotent actions on the torus ⋮ Fixed points of nilpotent actions on ⋮ Global fixed points for centralizers and Morita's theorem ⋮ Abelian subgroups of \(\text{Out}(F_n)\). ⋮ Free $\mathbb {Z}^p$-actions on the three dimensional torus ⋮ Fixed points for nilpotent actions on the plane and the Cartwright-Littlewood theorem

Cites Work

• Un point fixe commun pour des difféomorphismes commutants de \(S^ 2\). (A common fixed point for commutating diffeomorphisms of \(S^ 2\).)
• New proofs of some results of Nielsen
• Commuting homeomorphisms of \(S^ 2\)
• A fixed-point theorem for planar homeomorphisms
• Periodic points of Hamiltonian surface diffeomorphisms
• Fixed points of discrete nilpotent group actions on \(S^2\)
• Fixed point index and fixed point theorem for Euclidean neighborhood retracts
• The Nielsen realization problem

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