Cohomology classes represented by measured foliations, and Mahler's question for interval exchanges

DOI10.24033/asens.2214zbMath1346.37039arXiv1102.4719OpenAlexW2962713575MaRDI QIDQ5495500

Barak Weiss, Yair N. Minsky

Publication date: 4 August 2014

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

Full work available at URL: https://arxiv.org/abs/1102.4719

zbMATH Keywords

cohomology classesinterval exchangesmeasured foliations

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Foliations (differential geometric aspects) (53C12) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) General groups of measure-preserving transformations and dynamical systems (37A15)

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Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum ℋ(1,1) ⋮ Minimality of interval exchange transformations with restrictions ⋮ Ergodicity of the absolute period foliation ⋮ High rank invariant subvarieties ⋮ Non-uniform ergodic properties of Hamiltonian flows with impacts ⋮ Rel leaves of the Arnoux-Yoccoz surfaces ⋮ Connected components of Prym eigenform loci in genus three ⋮ Genericity on curves and applications: pseudo-integrable billiards, Eaton lenses and gap distributions ⋮ Exceptional directions for the Teichmüller geodesic flow and Hausdorff dimension ⋮ Recurrence for smooth curves in the moduli space and an application to the billiard flow on nibbled ellipses ⋮ Singular vectors on fractals and projections of self-similar measures

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