Complex harmonic maps are used to prove that rank-2 Hitchin components carry a mapping-class-group-invariant pseudo-Kähler structure and a Bers-type simultaneous uniformization.
Quantization of Hitchin’s fibration and Langlands’ program
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Complex harmonic maps and rank 2 higher Teichm\"uller theory
Complex harmonic maps are used to prove that rank-2 Hitchin components carry a mapping-class-group-invariant pseudo-Kähler structure and a Bers-type simultaneous uniformization.