The Harmonic Map Compactification of Teichmüller Spaces for Punctured Riemann Surfaces

DOI10.1090/ecgd/388arXiv2203.16906OpenAlexW4390061258MaRDI QIDQ6141871

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Publication date: 23 January 2024

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.16906

zbMATH Keywords

Teichmüller spacepunctured Riemann surfaceharmonic map ray compactification

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Teichmüller theory for Riemann surfaces (30F60) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• Quadratic differentials and foliations
• Harmonic diffeomorphisms and Teichmüller theory
• The Teichmüller theory of harmonic maps
• High energy degeneration of harmonic maps between surfaces and rays in Teichmüller space
• Harmonic maps, length, and energy in Teichmüller space
• On univalent harmonic maps between surfaces
• Thurston's Work on Surfaces (MN-48)
• Some properties and applications of harmonic mappings
• On Homotopic Harmonic Maps
• Harmonic Mappings of Riemannian Manifolds
• Compact Riemann surfaces. An introduction to contemporary mathematics
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