Eigenvalues of curvature, Lyapunov exponents and Harder-Narasimhan filtrations
DOI10.2140/gt.2018.22.2253zbMath1391.14053arXiv1408.1630OpenAlexW1862634579MaRDI QIDQ1746386
Publication date: 25 April 2018
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.1630
Lyapunov exponentHarder-Narasimhan filtrationTeichmüller geodesic floweigenvalue of curvaturemoduli space of Riemann surface
Families, moduli of curves (algebraic) (14H10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Teichmüller theory for Riemann surfaces (30F60) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)
Related Items (2)
Cites Work
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- Splitting mixed Hodge structures over affine invariant manifolds
- Semisimplicity and rigidity of the Kontsevich-Zorich cocycle
- Weierstrass filtration on Teichmüller curves and Lyapunov exponents
- Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow
- Teichmüller curves in genus three and just likely intersections in \(\mathbf{G}_{m}^{n}\times\mathbf{G}_{a}^{n}\)
- Square-tiled cyclic covers
- Lyapunov spectrum of square-tiled cyclic covers
- Schwarz triangle mappings and Teichmüller curves: abelian square-tiled surfaces
- A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces
- Teichmüller curves, triangle groups, and Lyapunov exponents
- Slope filtrations
- Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
- 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
- Lower bounds for Lyapunov exponents of flat bundles on curves
- A characterization of certain Shimura curves in the moduli stack of abelian varieties
- Finite Gauss measure on the space of interval exchange transformations. Lyapunov exponents
- A criterion for being a Teichmüller curve
- Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture
- Schwarz triangle mappings and Teichmüller curves: The Veech-Ward-Bouw-Möller curves
- Euler characteristics of Teichmüller curves in genus two
- Teichmüller curves in genus two: Torsion divisors and ratios of sines
- Frobenius and the Hodge filtration (estimates)
- Variations of Hodge structures of a Teichmüller curve
- The Yang-Mills equations over Riemann surfaces
- Diffusion for the periodic wind-tree model
- Lyapunov spectrum of invariant subbundles of the Hodge bundle
- Quadratic differentials in low genus: exceptional and non-varying strata
- Frobenius and the Hodge filtration
- Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix
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