The Burnside problem for \(\text{Diff}_{\omega}(\mathbb{S}^2)\)

DOI10.1215/00127094-2020-0028zbMath1458.37042arXiv1607.04603OpenAlexW3094108331MaRDI QIDQ2217898

Alejandro Kocsard, Sebastian Hurtado, Federico Rodriguez Hertz

Publication date: 12 January 2021

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.04603

zbMATH Keywords

transformation groupsgroup actions on manifoldssurface dynamicsdiffeomorphisms group

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Flows on surfaces (37E35)

Related Items (2)

Rigidity, lattices, and invariant measures beyond homogeneous dynamics ⋮ Zimmer's conjecture: subexponential growth, measure rigidity, and strong property (T)

Cites Work

• Livšic theorem for low-dimensional diffeomorphism cocycles
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• On periodic groups of homeomorphisms of the 2-dimensional sphere
• Livšic theorem for diffeomorphism cocycles
• On the Burnside problem in \(\mathrm{Diff}(M)\)
• Burnside problem for measure preserving groups and for 2-groups of toral homeomorphisms
• Continuity of discrete homomorphisms of diffeomorphism groups
• Almost isometric actions, property (T), and local rigidity
• Groups acting on manifolds: around the Zimmer program
• Shorter Notes: A Short Short Proof of the Cartwright-Littlewood Theorem
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