Affine manifolds and zero Lyapunov exponents in genus 3
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Publication:896996
DOI10.1007/s00039-015-0339-2zbMath1357.37078arXiv1409.5180OpenAlexW3099900461MaRDI QIDQ896996
Publication date: 16 December 2015
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.5180
Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Affine differential geometry (53A15)
Related Items (2)
Rank 2 affine manifolds in genus \(3\) ⋮ Affine invariant submanifolds with completely degenerate Kontsevich–Zorich spectrum
Cites Work
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- Weierstrass filtration on Teichmüller curves and Lyapunov exponents
- Lattice point asymptotics and volume growth on Teichmüller space
- Loci in strata of meromorphic quadratic differentials with fully degenerate Lyapunov spectrum
- Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow
- Non-Veech surfaces in \(\mathcal H^{\mathrm{hyp}}(4)\) are generic
- Every flat surface is Birkhoff and Oseledets generic in almost every direction
- 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
- Lyapunov spectrum of square-tiled cyclic covers
- A geometric criterion for the nonuniform hyperbolicity of the Kontsevich-Zorich cocycle
- Schwarz triangle mappings and Teichmüller curves: abelian square-tiled surfaces
- Teichmüller discs with completely degenerate Kontsevich-Zorich spectrum
- Teichmüller curves, triangle groups, and Lyapunov exponents
- On a class of geodesics in Teichmüller space
- Deviation of ergodic averages for area-preserving flows on surfaces of higher genus
- Symplectic and isometric \(\mathrm{SL}(2,\mathbb{R})\)-invariant subbundles of the Hodge bundle
- Minimal sets for flows on moduli space
- Cylinder deformations in orbit closures of translation surfaces
- Translation surfaces and their orbit closures: an introduction for a broad audience
- Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture
- Schwarz triangle mappings and Teichmüller curves: The Veech-Ward-Bouw-Möller curves
- Teichmüller curves in genus two: Torsion divisors and ratios of sines
- The field of definition of affine invariant submanifolds of the moduli space of abelian differentials
- Zero Lyapunov exponents of the Hodge bundle
- Affine invariant submanifolds with completely degenerate Kontsevich–Zorich spectrum
- Lyapunov spectrum of invariant subbundles of the Hodge bundle
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