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arXiv · 2502.01395

Local asymptotics for Hitchin's equations and high energy harmonic maps

Nathaniel Sagman·Peter Smillie
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Abstract

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 regular semisimple Higgs bundles to arbitrary Higgs bundles. We apply our estimates to the Hitchin WKB problem and to high energy harmonic maps to symmetric spaces and buildings.

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Nathaniel Sagman, Peter Smillie. 2025-02-03. Local asymptotics for Hitchin's equations and high energy harmonic maps. https://arxiv.org/abs/2502.01395

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