An Introduction to Higgs Bundles via Harmonic Maps

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Author: Li, Q.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210187
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: An Introduction to Higgs Bundles via Harmonic Maps / Q. Li // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 57 назв. — англ.

This survey studies equivariant harmonic maps arising from Higgs bundles. We explain the non-abelian Hodge correspondence and focus on the role of equivariant harmonic maps in the correspondence. With the preparation, we review current progress towards some open problems in the study of equivariant...