A complex structure on the set of quasiconformally extendible non-overlapping mappings into a Riemann surface

DOI10.1007/s11854-009-0025-0zbMath1183.30020arXiv0803.3211OpenAlexW1987299268MaRDI QIDQ1035187

David Radnell, Eric D. Schippers

Publication date: 2 November 2009

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.3211

zbMATH Keywords

quasiconformal extensionnon-overlapping mappings

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (8)

Representation theory of vertex operator algebras and orbifold conformal field theory ⋮ Comparison Moduli Spaces of Riemann Surfaces ⋮ Some open problems in mathematical two-dimensional conformal field theory ⋮ Quasiconformal Teichmüller theory as an analytical foundation for two-dimensional conformal field theory ⋮ Fiber structure and local coordinates for the Teichmüller space of a bordered Riemann surface ⋮ A Model of the Teichmüller space of genus-zero bordered surfaces by period maps ⋮ Weil–Petersson class non-overlapping mappings into a Riemann surface ⋮ A Hilbert manifold structure on the Weil–Petersson class Teichmüller space of bordered Riemann surfaces

Cites Work

• Manifolds of holomorphic mappings from strongly pseudoconvex domains
• Fiber spaces over Teichmüller spaces
• The Velling-Kirillov metric of the universal Teichmüller curve
• QUASISYMMETRIC SEWING IN RIGGED TEICHMÜLLER SPACE
• Weil-Petersson metric on the universal Teichmüller space
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