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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.01395 |
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| _version_ | 1866915612362539008 |
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| author | Sagman, Nathaniel Smillie, Peter |
| author_facet | Sagman, Nathaniel Smillie, Peter |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01395 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local asymptotics for Hitchin's equations and high energy harmonic maps Sagman, Nathaniel Smillie, Peter Differential Geometry 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. |
| title | Local asymptotics for Hitchin's equations and high energy harmonic maps |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2502.01395 |