Billiards, quadrilaterals and moduli spaces

DOI10.1090/jams/950OpenAlexW3004199244MaRDI QIDQ5131070

Ronen E. Mukamel, Alex Eskin, Curtis T. McMullen, Alex Wright

Publication date: 2 November 2020

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/jams/950

zbMATH Keywords

elliptic curvesHodge theoryTeichmüller theorydynamics on moduli spaces

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Elliptic curves (14H52) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items

Billiards and Teichmüller curves ⋮ A Short Introduction to Translation Surfaces, Veech Surfaces, and Teichmüller Dynamics ⋮ Billiards, heights, and the arithmetic of non-arithmetic groups ⋮ Hodge and Teichmüller ⋮ Dynamical invariants and intersection theory on the flex and gothic loci ⋮ Smooth covers of moduli stacks of Riemann surfaces with symmetry ⋮ The Chern classes and Euler characteristic of the moduli spaces of Abelian differentials ⋮ High rank invariant subvarieties ⋮ Nonarithmetic affine invariant orbifolds in \({\mathcal{H}}^{{odd}}(2,2)\) and \({\mathcal{H}}(3,1)\) ⋮ A tour through Mirzakhani’s work on moduli spaces of Riemann surfaces ⋮ Masur–Veech volume of the gothic locus ⋮ Euler characteristics of gothic Teichmüller curves ⋮ Marked points on translation surfaces ⋮ Periodic points on the regular and double \(n\)-gon surfaces ⋮ Central points of the double heptagon translation surface are not connection points

Cites Work

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