A zero Lyapunov exponent in genus 3 implies the Eierlegende Wollmilchsau
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Publication:6584607
DOI10.5802/AHL.198zbMATH Open1544.32025MaRDI QIDQ6584607
David Aulicino, Chaya Norton, Frederik Benirschke
Publication date: 8 August 2024
Published in: Annales Henri Lebesgue (Search for Journal in Brave)
Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Differentials on Riemann surfaces (30F30)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Splitting mixed Hodge structures over affine invariant manifolds
- Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
- Teichmüller curves in genus three and just likely intersections in \(\mathbf{G}_{m}^{n}\times\mathbf{G}_{a}^{n}\)
- Zero Lyapunov exponents and monodromy of the Kontsevich-Zorich cocycle
- Shimura and Teichmüller curves
- A geometric criterion for the nonuniform hyperbolicity of the Kontsevich-Zorich cocycle
- Teichmüller discs with completely degenerate Kontsevich-Zorich spectrum
- Affine manifolds and zero Lyapunov exponents in genus 3
- Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
- Precise variational formulas for Abelian differentials
- Gauss measures for transformations on the space of interval exchange maps
- Interval exchange transformations and measured foliations
- Connected components of the moduli spaces of Abelian differentials with prescribed singularities
- Deviation of ergodic averages for area-preserving flows on surfaces of higher genus
- Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
- Symplectic and isometric \(\mathrm{SL}(2,\mathbb{R})\)-invariant subbundles of the Hodge bundle
- Theta functions on Riemann surfaces
- Shimura-Teichmüller curves in genus 5
- Cylinder deformations in orbit closures of translation surfaces
- Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards
- Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture
- Euler characteristics of Teichmüller curves in genus two
- The field of definition of affine invariant submanifolds of the moduli space of abelian differentials
- Affine invariant submanifolds with completely degenerate Kontsevich–Zorich spectrum
- General Variational Formulas for Abelian Differentials
- Lyapunov spectrum of invariant subbundles of the Hodge bundle
- An extraordinary origami curve
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