The grafting map of Teichmüller space

DOI10.1090/S0894-0347-02-00395-8zbMath1011.32009arXivmath/9810082OpenAlexW1657914708WikidataQ63351142 ScholiaQ63351142MaRDI QIDQ4544951

Michael Wolf, Kevin P. Scannell

Publication date: 7 August 2002

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

Full work available at URL: https://arxiv.org/abs/math/9810082

zbMATH Keywords

Teichmüller spacequasi-Fuchsian groupsmeasured laminations

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Differential geometric aspects of harmonic maps (53C43) General geometric structures on low-dimensional manifolds (57M50) Teichmüller theory for Riemann surfaces (30F60) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items

Holonomy limits of complex projective structures ⋮ Notes on a paper of Mess ⋮ A symplectic map between hyperbolic and complex Teichmüller theory ⋮ A cyclic extension of the earthquake flow. I ⋮ Asymptotic behavior of grafting rays ⋮ Asymptoticity of grafting and Teichmüller rays ⋮ Flat grafting deformations of quadratic differentials on surfaces ⋮ The Schwarzian derivative and measured laminations on Riemann surfaces ⋮ Projective structures, grafting and measured laminations ⋮ Iterated grafting and holonomy lifts of Teichmüller space ⋮ Bers slices are Zariski dense ⋮ Open-closed hyperbolic string vertices ⋮ Hyperbolic string vertices ⋮ Asymptoticity of grafting and Teichmüller rays. II

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Manifolds with canonical coordinate charts: Some examples
• Earthquakes are analytic
• Projective structures with Fuchsian holonomy
• The geometry of Teichmüller space via geodesic currents
• Projective structures on Riemann surfaces and Kleinian groups
• The geometry of Nielsen's hull for a Kleinian group in space and quasi- conformal mappings
• Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery
• Infinite energy harmonic maps and degeneration of hyperbolic surfaces in moduli space
• High energy degeneration of harmonic maps between surfaces and rays in Teichmüller space
• Monodromy groups and linearly polymorphic functions
• Flat conformal structures and the classification of de Sitter manifolds
• A canonical metric for Möbius structures and its applications
• Notes on projective structures and Kleinian groups
• Grafting, harmonic maps and projective structures on surfaces
• The monodromy groups of Schwarzian equations on closed Riemann surfaces
• Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
• Deformations of metrics and associated harmonic maps
• The geometry of finitely generated Kleinian groups
• Continuity of convex hull boundaries
• A non-standard integral equation with applications to quasi-conformal mappings
• Deformation of Fuchsian groups
• Deformations of Fuchsian groups. II
• Surfaces Convexes Dans L'espace Hyperbolique et CP ¹ Structures
• Some properties and applications of harmonic mappings
• Projective structures with discrete holonomy representations
• Complex earthquakes and Teichmüller theory
• The Schwarzian derivative and schlicht functions
• Compact Riemann surfaces. An introduction to contemporary mathematics
• Algebraic limits of Kleinian groups which rearrange the pages of a book