Affine invariant submanifolds with completely degenerate Kontsevich–Zorich spectrum

DOI10.1017/etds.2016.26zbMath1390.37047arXiv1302.0913OpenAlexW2963280823MaRDI QIDQ4643230

David Aulicino

Publication date: 24 May 2018

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.0913

zbMATH Keywords

Lyapunov spectrumKontsevich-Zorich cocycleTeichmüller curve

Mathematics Subject Classification ID

Related Items (4)

Affine manifolds and zero Lyapunov exponents in genus 3 ⋮ Loci in strata of meromorphic quadratic differentials with fully degenerate Lyapunov spectrum ⋮ Shimura-Teichmüller curves in genus 5 ⋮ Teichm\"uller dynamics in the eyes of an algebraic geometer

Cites Work

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• Lattice point asymptotics and volume growth on Teichmüller space
• Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow
• Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
• 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
• Precise variational formulas for Abelian differentials
• Billiards in rectangles with barriers
• Affine mappings of translation surfaces: Geometry and arithmetic
• 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
• Theta functions on Riemann surfaces
• Minimal sets for flows on moduli space
• Cylinder deformations in orbit closures of translation surfaces
• Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture
• The boundary of an affine invariant submanifold
• The field of definition of affine invariant submanifolds of the moduli space of abelian differentials
• Zero Lyapunov exponents of the Hodge bundle
• \(\mathrm{SL}(2,\mathbb R)\)-invariant probability measures on the moduli spaces of translation surfaces are regular
• Veech surfaces and complete periodicity in genus two
• Lyapunov spectrum of invariant subbundles of the Hodge bundle

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