Local asymptotics for Hitchin's equations and high energy harmonic maps
Differential Geometry
2025-11-13 v2
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.
Keywords
Cite
@article{arxiv.2502.01395,
title = {Local asymptotics for Hitchin's equations and high energy harmonic maps},
author = {Nathaniel Sagman and Peter Smillie},
journal= {arXiv preprint arXiv:2502.01395},
year = {2025}
}