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math.DG2026
Quadratic differentials in Teichmüller theory and complex harmonic maps
Christian El Emam, Nathaniel Sagman
We show that Hitchin-Wolf's harmonic map parametrization of Teichmüller space, the Schwarzian holonomy map, and Uhlenbeck's almost-Fuchsian holonomy map all arise as restrictions o…
math.DG2026
Holomorphicity of stable minimal surfaces of low genus
Nathaniel Sagman, Thomas-René Thalmaier
We prove that a (branched) minimal immersion from to is stable if and only if it lives in an even dimensional affine subspace and is holomorphic for som…