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

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    • 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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      Posted on July 25, 2019

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