Non-Abelian Hodge Theory and Related Topics

Pengfei Huang

Symmetry, integrability and geometry: methods and applications, Tome 16 (2020)

Résumé

This paper is a survey aimed on the introduction of non-Abelian Hodge theory that gives the correspondence between flat bundles and Higgs bundles. We will also introduce some topics arising from this theory, especially some recent developments on the study of the relevant moduli spaces together with some interesting open problems.

Détail

Keywords: non-Abelian Hodge theory, Hitchin section, oper, twistor space.
Mots-clés : $\lambda$-connection, moduli space, conformal limit, stratification

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