• Self-dual connections, hyperbolic metrics and harmonic mappings on Riemann surfaces

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/101/03/0215-0218

    • Keywords

       

      Teichmüller space; self-dual connection; hyperbolic metric; harmonic maps

    • Abstract

       

      The Sampson-Wolf model of Teichmüller space (using harmonic mappings) is shown to be exactly the same as the more recent Hitchin model (utilizing self-dual connections). Indeed, it is noted how the self-duality equations become the harmonicity equations. An interpretation of the modular group action in this model is mentioned.

    • Author Affiliations

       

      Subhashis Nag1

      1. The Institute of Mathematical Sciences, Madras - 600113, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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