Christian El Emam

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math.DG2026

Extending Donaldson's HyperKähler Structure via Minimal Surfaces into $PSL (2, C)$

Christian El Emam, Filippo Mazzoli, Nicholas Rungi +2

We construct a deformation space for minimal immersions into $PSL (2, C)$ with its holomorphic Killing form, and define an explicit, mapping class group invariant,…

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…

Extending Donaldson's HyperKähler Structure via Minimal Surfaces into PSL(2,C)

Quadratic differentials in Teichmüller theory and complex harmonic maps

Extending Donaldson's HyperKähler Structure via Minimal Surfaces into $PSL (2, C)$