Strata separation for the Weil-Petersson completion and gradient estimates for length functions

DOI10.1142/S1793525321500667zbMATH Open1543.30125MaRDI QIDQ6561475

Kenneth W. Bromberg, M. Bridgeman

Publication date: 25 June 2024

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

zbMATH Keywords

Weil-Petersson metricTeichmüller theory

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

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• Inflexibility, Weil-Petersson distance, and volumes of fibered 3-manifolds
• Behavior of geodesic-length functions on Teichmüller space
• Geodesic length functions and the Nielsen problem
• On the geometry of Weil-Petersson completion of Teichmüller spaces
• Growth of the Weil-Petersson inradius of moduli space
• Systole growth for finite area hyperbolic surfaces
• A formula for the Weil-Petersson product of quadratic differentials
• A note on collars of simple closed geodesics
• Classification of Weil-Petersson isometries

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