Universal commensurability augmented Teichmüller space and moduli space

DOI10.5186/aasfm.2021.4660zbMath1477.32020arXiv2004.02102OpenAlexW3193608757MaRDI QIDQ4958742

Hideki Miyachi, Guangming Hu, Yi Qi

Publication date: 15 September 2021

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.02102

zbMATH Keywords

modular groupaugmented Teichmüller spaceaugmented moduli spacecharacteristic tower

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Related Items

The universal commensurability Busemann horofunction compactified Teichmüller space

Cites Work

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• On quasiconformal deformations of the universal hyperbolic solenoid
• Earthquakes and Thurston's boundary for the Teichmüller space of the universal hyperbolic solenoid
• Degenerating families of Riemann surfaces
• Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmüller space
• The isometric embedding of the augmented Teichmüller space of a Riemann surface into the augmented Teichmüller space of its covering surface
• The good pants homology and the Ehrenpreis conjecture
• Teichmüller theory of the punctured solenoid
• An analytic construction of the Deligne-Mumford compactification of the moduli space of curves
• The irreducibility of the space of curves of a given genus
• Canonical mappings between Teichmüller spaces
• ON SOME INFINITE-DIMENSIONAL GROUPS. II
• Augmented Teichmüller spaces
• Thurston boundary of Teichmüller spaces and the commensurability modular group
• Weil-Petersson geometry and determinant bundles on inductive limits of moduli spaces
• The baseleaf preserving mapping class group of the universal hyperbolic solenoid