Teichmüller mapping class group of the universal hyperbolic solenoid

DOI10.1090/S0002-9947-05-03823-7zbMath1095.30040MaRDI QIDQ3373725

Dragomir Šarić, Vladimir Marković

Publication date: 8 March 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Teichmueller spacemapping class groupquasiconformal mapthe universal hyperbolic solenoid

Mathematics Subject Classification ID

Related Items (8)

Galois action on Fuchsian surface groups and their solenoids ⋮ Low-dimensional solenoidal manifolds ⋮ On quasiconformal deformations of the universal hyperbolic solenoid ⋮ The Teichmüller distance between finite index subgroups of \(PSL_2(\mathbb{Z})\) ⋮ Teichmüller theory of the punctured solenoid ⋮ Universal covering spaces and fundamental groups in algebraic geometry as schemes ⋮ Realization of the mapping class group of handlebody by diffeomorphisms ⋮ The Nielsen realization problem for asymptotic Teichmüller modular groups

Cites Work

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• On quasiconformal deformations of the universal hyperbolic solenoid
• Teichmüller theory and the universal period mapping via quantum calculus and the \(H^{1/2}\) space on the circle
• Conformally natural extension of homeomorphisms of the circle
• Uniformization of surface laminations
• Weil-Petersson geometry and determinant bundles on inductive limits of moduli spaces
• The Nielsen realization problem
• Limit constructions over Riemann surfaces and their parameter spaces and the commensurability group actions.

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