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Harmonic mappings and moduli spaces of Riemann surfaces

Harmonic mappings and moduli spaces of Riemann surfaces

Harmonic maps constitute a powerful tool for the analysis of moduli and Teichmuller spaces of compact Riemann surfaces. These moduli and Teichmuller spaces parametrize the different conformal structures a given compact differentiable surface F of some genus p can carry, together with a topological marking in the Teichmuller case. That …