An arithmetic Kontsevich-Zorich monodromy of a symmetric origami in genus 4

arXiv2308.02082MaRDI QIDQ6120521

Xun Gong, Anthony Sanchez

Publication date: 21 February 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.02082

zbMATH Keywords

origamitranslation surfacesarithmetic monodromy groupKontsevich-Zorich monodromy group

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)

Cites Work

• The action of the affine diffeomorphisms on the relative homology group of certain exceptionally symmetric origamis
• A geometric criterion for the nonuniform hyperbolicity of the Kontsevich-Zorich cocycle
• Arithmeticity of certain symplectic hypergeometric groups
• Zariski density and computing in arithmetic groups
• Statistics of Square-Tiled Surfaces: Symmetry and Short Loops
• An extraordinary origami curve

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