The Schwarzian derivative and measured laminations on Riemann surfaces

DOI10.1215/S0012-7094-07-14021-3zbMath1134.30035arXivmath/0510365MaRDI QIDQ2461385

David Dumas

Publication date: 27 November 2007

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510365

zbMATH Keywords

Schwarzian derivativequadratic differentialprojective structureThurston mapThurston metricmeasured laminationfoliation mapSchwarzian tensorholonomy representaion

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) General geometric structures on low-dimensional manifolds (57M50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Teichmüller theory for Riemann surfaces (30F60)

Related Items

Big-bang limit of 2 + 1 gravity and Thurston boundary of Teichmüller space, Bers' simultaneous uniformization and the intersection of Poincaré holonomy varieties, Riemann surfaces with boundary and natural triangulations of the Teichmüller space, Asymptoticity of grafting and Teichmüller rays, Projective structures, grafting and measured laminations, A Glimpse into Thurston’s Work, Holomorphic quadratic differentials in Teichmüller theory

Uses Software

• Bear

Cites Work

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