Totally geodesic submanifolds of Teichmüller space

DOI10.4310/jdg/1594260019zbMath1450.30065arXiv1702.03249OpenAlexW3041983287WikidataQ115164872 ScholiaQ115164872MaRDI QIDQ782482

Alex Wright

Publication date: 27 July 2020

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03249

zbMATH Keywords

Teichmüller theoryaffine invariant submanifoldsdynamics on moduli spaces

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Teichmüller theory; moduli spaces of holomorphic dynamical systems (37F34)

Related Items

Billiards and Teichmüller curves ⋮ Hodge and Teichmüller

Cites Work

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• Splitting mixed Hodge structures over affine invariant manifolds
• Moduli spaces of isoperiodic forms on Riemann surfaces
• Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
• Isometric disks are holomorphic
• Quadratic differentials and foliations
• On the existence of certain general extremal metrics
• Gauss measures for transformations on the space of interval exchange maps
• Interval exchange transformations and measured foliations
• The algebraic hull of the Kontsevich-Zorich cocycle
• Symplectic and isometric \(\mathrm{SL}(2,\mathbb{R})\)-invariant subbundles of the Hodge bundle
• Cylinder deformations in orbit closures of translation surfaces
• Cubic curves and totally geodesic subvarieties of moduli space
• Teichmüller spaces and bounded symmetric domains do not mix isometrically
• The field of definition of affine invariant submanifolds of the moduli space of abelian differentials
• The Existence of Jenkins-Strebel Differentials from Teichmuller Theory
• ON THE EXISTENCE OF JENKINS–STREBEL DIFFERENTIALS
• On the Existence of Jenkins-Strebel Differentials Using Harmonic Maps from Surfaces to Graphs