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.
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References
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Nag, S. Self-dual connections, hyperbolic metrics and harmonic mappings on Riemann surfaces. Proc. Indian Acad. Sci. (Math. Sci.) 101, 215–218 (1991). https://doi.org/10.1007/BF02836803
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DOI: https://doi.org/10.1007/BF02836803