Weil–Petersson class non-overlapping mappings into a Riemann surface

DOI10.1142/S0219199715500601zbMath1339.30019MaRDI QIDQ2809264

Wolfgang Staubach, David Radnell, Eric D. Schippers

Publication date: 27 May 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

Teichmüller theory\(L^2\) Beltrami differentials

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Teichmüller theory for Riemann surfaces (30F60) Quasiconformal mappings in the complex plane (30C62)

Related Items (8)

Representation theory of vertex operator algebras and orbifold conformal field theory ⋮ Convergence of the Weil–Petersson metric on the Teichmüller space of bordered Riemann surfaces ⋮ Quasiconformal maps of bordered Riemann surfaces with \(L^2\) Beltrami differentials ⋮ Comparison Moduli Spaces of Riemann Surfaces ⋮ Smoothness and strongly pseudoconvexity of p-Weil–Petersson metric ⋮ Some open problems in mathematical two-dimensional conformal field theory ⋮ Quasiconformal Teichmüller theory as an analytical foundation for two-dimensional conformal field theory ⋮ Quadratic differentials and conformal invariants

Cites Work

• Unnamed Item
• Unnamed Item
• A complex structure on the set of quasiconformally extendible non-overlapping mappings into a Riemann surface
• Schiffer's interior variation and quasiconformal mapping
• BMO-Teichmüller spaces
• Convergence of the Weil–Petersson metric on the Teichmüller space of bordered Riemann surfaces
• Fiber structure and local coordinates for the Teichmüller space of a bordered Riemann surface
• A weak criterion for vector-valued holomorphy
• A Hilbert manifold structure on the Weil–Petersson class Teichmüller space of bordered Riemann surfaces
• QUASISYMMETRIC SEWING IN RIGGED TEICHMÜLLER SPACE
• Weil-Petersson metric on the universal Teichmüller space
• Introduction of a complex structure on the p-integrable Teichmüller space

This page was built for publication: Weil–Petersson class non-overlapping mappings into a Riemann surface