Arithmeticity of the Kontsevich-Zorich monodromies of certain families of square-tiled surfaces. II

DOI10.1002/MANA.202300085zbMATH Open1545.37034MaRDI QIDQ6539615

Manuel Kany, Carlos Matheus

Publication date: 15 May 2024

Published in: Mathematische Nachrichten (Search for Journal in Brave)

zbMATH Keywords

Teichmüller dynamicssquare-tiled surfacesKontsevich-Zorich monodromy

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Homogeneous flows (37A17) Families and moduli spaces in arithmetic and non-Archimedean dynamical systems (37P45) Teichmüller theory; moduli spaces of holomorphic dynamical systems (37F34)

Cites Work

• Title not available (Why is that?)
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• A complete discrimination system for polynomials
• A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces
• Arithmeticity of certain symplectic hypergeometric groups
• Generic elements in Zariski-dense subgroups and isospectral locally symmetric spaces.
• The strong symmetric genus of the hyperoctahedral groups

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