Homology of origamis with symmetries

DOI10.5802/aif.2876zbMath1352.37097arXiv1207.2423OpenAlexW2964116291MaRDI QIDQ486789

Carlos Matheus, David Zmiaikou, Jean-Christophe Yoccoz

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.2423

zbMATH Keywords

Lyapunov exponentsaffine grouprepresentations of finite groupsKontsevich-Zorich cocycleautomorphisms grouporigamisregular and quasi-regular origamissquare-tiled surfaces

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Group actions on manifolds and cell complexes in low dimensions (57M60) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (8)

Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum ℋ(1,1) ⋮ Semisimplicity and rigidity of the Kontsevich-Zorich cocycle ⋮ Corrigendum to: ``Homology of origamis with symmetries. ⋮ A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces ⋮ Strata ofp‐origamis ⋮ Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow ⋮ Quaternionic covers and monodromy of the Kontsevich-Zorich cocycle in orthogonal groups ⋮ A family of quaternionic monodromy groups of the Kontsevich-Zorich cocycle

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