The field of definition of affine invariant submanifolds of the moduli space of abelian differentials
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Publication:2509851
DOI10.2140/gt.2014.18.1323zbMath1320.32019arXiv1210.4806OpenAlexW3100326099MaRDI QIDQ2509851
Publication date: 31 July 2014
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.4806
Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
Related Items (29)
Splitting mixed Hodge structures over affine invariant manifolds ⋮ Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum ℋ(1,1) ⋮ From rational billiards to dynamics on moduli spaces ⋮ The algebraic hull of the Kontsevich-Zorich cocycle ⋮ Semisimplicity and rigidity of the Kontsevich-Zorich cocycle ⋮ Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space ⋮ The boundary of an affine invariant submanifold ⋮ High rank invariant subvarieties ⋮ A criterion for density of the isoperiodic leaves in rank one affine invariant orbifolds ⋮ Affine manifolds and zero Lyapunov exponents in genus 3 ⋮ Diffusion Rate of Windtree Models and Lyapunov Exponents ⋮ Nonarithmetic affine invariant orbifolds in \({\mathcal{H}}^{{odd}}(2,2)\) and \({\mathcal{H}}(3,1)\) ⋮ Full-rank affine invariant submanifolds ⋮ Rank 2 affine manifolds in genus \(3\) ⋮ Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space ⋮ Affine invariant submanifolds with completely degenerate Kontsevich–Zorich spectrum ⋮ Rel leaves of the Arnoux-Yoccoz surfaces ⋮ Teichmüller curves in genus three and just likely intersections in \(\mathbf{G}_{m}^{n}\times\mathbf{G}_{a}^{n}\) ⋮ Cylinder deformations in orbit closures of translation surfaces ⋮ Variation of Hodge structure and enumerating tilings of surfaces by triangles and squares ⋮ Book Review: Twisted Teichmüller curves ⋮ Existence of closed geodesics through a regular point on translation surfaces ⋮ Classification of higher rank orbit closures in \(\mathcal{H}^{\mathrm{odd}}(4)\) ⋮ ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES ⋮ Marked points on translation surfaces ⋮ Totally geodesic submanifolds of Teichmüller space ⋮ The WYSIWYG compactification ⋮ Lagrange spectra in Teichmüller dynamics via renormalization ⋮ Hodge-Teichmüller planes and finiteness results for Teichmüller curves
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