Labeled Rauzy classes and framed translation surfaces
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Publication:5895222
DOI10.5802/aif.2947zbMath1332.37030arXiv1010.5719OpenAlexW2949933585MaRDI QIDQ5895222
Publication date: 20 October 2015
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.5719
moduli spacesTeichmüller flowinterval exchange mapsAbelian differentialsModuli spacesInterval exchange mapsRauzy induction
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Related Items (9)
Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum ℋ(1,1) ⋮ A combinatorial approach to Rauzy-type dynamics. II: The labelling method and a second proof of the KZB classification theorem ⋮ Moduli space of meromorphic differentials with marked horizontal separatrices ⋮ A combinatorial proof of the Kontsevich-Zorich-Boissy classification of Rauzy classes ⋮ The automorphism group of Rauzy diagrams ⋮ Framed mapping class groups and the monodromy of strata of abelian differentials ⋮ Pseudo-Anosov homeomorphisms on translation surfaces in hyperelliptic components have large entropy ⋮ Cardinality of Rauzy classes ⋮ Khinchin type condition for translation surfaces and asymptotic laws for the Teichmuller flow
Uses Software
Cites Work
- Pseudo-Anosov homeomorphisms on translation surfaces in hyperelliptic components have large entropy
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- Cardinality of Rauzy classes
- Échanges d'intervalles et transformations induites
- Measured foliations on nonorientable surfaces
- Simplicial systems for interval exchange maps and measured foliations
- Khinchin type condition for translation surfaces and asymptotic laws for the Teichmuller flow
- The cohomological equation for Roth-type interval exchange maps
- Dynamics and geometry of the Rauzy–Veech induction for quadratic differentials
- Decay of correlations for the Rauzy-Veech-Zorich induction map on the space of interval exchange transformations and the central limit theorem for the Teichmüller flow on the moduli space of Abelian differentials
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