A rigidity theorem for the mapping class group action on the space of unmeasured foliations on a surface

DOI10.1090/S0002-9939-08-09433-1zbMath1154.57017arXiv0705.1837MaRDI QIDQ3542067

Athanase Papadopoulos

Publication date: 27 November 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.1837

zbMATH Keywords

mapping class groupmeasured foliationcurve complexunmeasured foliation space

Mathematics Subject Classification ID

Geometric group theory (20F65) General geometric structures on low-dimensional manifolds (57M50) Group actions on manifolds and cell complexes in low dimensions (57M60) Foliations in differential topology; geometric theory (57R30)

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Cites Work

• Automorphisms of complexes of curves on punctured spheres and on punctured tori
• Smoothability of the conformal boundary of a Lorentz surface implies `global smoothability'
• Geometry of the complex of curves. I: Hyperbolicity
• Automorphisms of the complex of curves
• Foliations of surfaces and semi-Markovian subsets of subshifts of finite type
• On the geometry and dynamics of diffeomorphisms of surfaces
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