Liouville action for harmonic diffeomorphisms

DOI10.3842/SIGMA.2021.097zbMath1478.30011arXiv2105.11074OpenAlexW3211003587MaRDI QIDQ2666002

Jinsung Park

Publication date: 22 November 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.11074

zbMATH Keywords

compact Riemann surfacesharmonic diffeomorphisms

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Harmonic maps, etc. (58E20) Vector bundles on curves and their moduli (14H60)

Cites Work

• Unnamed Item
• Potentials and Chern forms for Weil-Petersson and Takhtajan-Zograf metrics on moduli spaces
• Holography and Riemann surfaces
• On the renormalized volume of hyperbolic 3-manifolds
• The Teichmüller theory of harmonic maps
• Liouville action and Weil-Petersson metric on deformation spaces, global Kleinian reciprocity and holography
• Liouville action and holography on quasi-Fuchsian deformation spaces
• Tau function and Chern-Simons invariant
• Some remarks on Teichmüller's space of Riemann surfaces
• ON LIOUVILLE'S EQUATION, ACCESSORY PARAMETERS, AND THE GEOMETRY OF TEICHMÜLLER SPACE FOR RIEMANN SURFACES OF GENUS 0
• ON UNIFORMIZATION OF RIEMANN SURFACES AND THE WEIL-PETERSSON METRIC ON TEICHMÜLLER AND SCHOTTKY SPACES
• Some properties and applications of harmonic mappings
• Compact Riemann surfaces. An introduction to contemporary mathematics

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