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math.DG2025
Complex harmonic maps and rank 2 higher Teichmüller theory
Christian El Emam, Nathaniel Sagman
We initiate and develop the theory of complex harmonic maps to holomorphic Riemannian symmetric spaces, which we make use of to study complex analytic aspects of higher Teichmüller…
math.DG2025
Local asymptotics for Hitchin's equations and high energy harmonic maps
Nathaniel Sagman, Peter Smillie
We find new estimates and a new asymptotic decoupling phenomenon for solutions to Hitchin's self-duality equations at high energy. These generalize previous results for generically…