Nonsmoothable, locally indicable group actions on the interval

DOI10.2140/agt.2008.8.609zbMath1154.37015arXiv0802.2707OpenAlexW1989339931MaRDI QIDQ929195

Danny Calegari

Publication date: 13 June 2008

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.2707

zbMATH Keywords

intervalgroup actionorder structuresmoothableThurston stability theorem

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems involving maps of the interval (37E05)

Related Items (8)

Surface groups of diffeomorphisms of the interval ⋮ Rigidity for \(C^1\) actions on the interval arising from hyperbolicity. I: Solvable groups ⋮ On the dynamics of (left) orderable groups. ⋮ A finitely generated, locally indicable group with no faithful action by \(C^1\) diffeomorphisms of the interval ⋮ Direct products, overlapping actions, and critical regularity ⋮ Hyperbolicity as an obstruction to smoothability for one-dimensional actions ⋮ Diffeomorphism groups of critical regularity ⋮ Questions and remarks on discrete and dense subgroups of Diff(I)

Cites Work

• Unnamed Item
• On the dynamics of (left) orderable groups.
• The Godbillon measure of amenable foliations
• Sur un groupe remarquable de difféomorphismes du cercle. (On a remarkable group of the diffeomorphisms of the circle)
• A generalization of the Reeb stability theorem
• Feuilletage et difféomorphismes infiniment tangents à l'identité
• An interesting class of \(C^{1}\) foliations
• On one-dimensional dynamics in intermediary regularity

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