Measured foliations on nonorientable surfaces

DOI10.24033/asens.1608zbMath0722.57010OpenAlexW2602101125MaRDI QIDQ3209871

Arnaldo Nogueira, Claude Danthony

Publication date: 1990

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1990_4_23_3_469_0

zbMATH Keywords

singularitiesEuler characteristicergodicitycompact leafmeasured foliationsnonorientable closed surface

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations in differential topology; geometric theory (57R30)

Related Items

Specular sets, Pseudogroups of isometries of \(\mathbb{R}\) and Rips' theorem on free actions on \(\mathbb{R}\)-trees, Minimality of interval exchange transformations with restrictions, Mapping class group orbit closures for non-orientable surfaces, The limit set of non-orientable mapping class groups, Return words of linear involutions and fundamental groups, Degenerations of quadratic differentials on \(\mathbb {CP}^1\), Labeled Rauzy classes and framed translation surfaces, Interval exchanges, admissibility and branching Rauzy induction, Independent generators for one-dimensional systems of isometries, Dynamics of Out(Fn) on the boundary of outer space, Coding Non-orientable Laminations, Minimal interval exchange transformations with flips, Commensurating actions for groups of piecewise continuous transformations, Cohomological equations for linear involutions, Translation equivalence in free groups, The Borel-Bernstein theorem for multidimensional continued fractions

Cites Work

• Smooth nonorientable nontrivial recurrence on two-manifolds
• Feuilletages orientés de surfaces: le problème de la section globale. (Oriented foliations of surfaces: The problem of global section)
• Nonorientable recurrence of flows and interval exchange transformations
• Gauss measures for transformations on the space of interval exchange maps
• Interval exchange transformations and measured foliations
• Échanges d'intervalles et transformations induites
• Almost all interval exchange transformations with flips are nonergodic
• Simplicial systems for interval exchange maps and measured foliations
• The Complex of Curves on Non-Orientable Surfaces
• Interval exchange transformations
• Interval exchange transformations
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