Non-Abelian Hodge Theory and Related Topics

Abstract

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.

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Cited by in corpus (5)

• Good Wild Harmonic Bundles and Good Filtered Higgs Bundles
• Simpson Filtration and Oper Stratum Conjecture
• The Kapustin-Witten equations and nonabelian Hodge theory
• Geometry of the Space of Sections of Twistor Spaces with Circle Action
• Generalized Deligne-Hitchin Twistor Spaces: Construction and Properties