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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 029, 34 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.029 (Mi sigma1566) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Non-Abelian Hodge Theory and Related Topics

Pengfei Huangab

a Laboratoire J.A. Dieudonné, Université Côte d'Azur, CNRS, 06108 Nice, France
b School of Mathematics, University of Science and Technology of China, Hefei 230026, China
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DOI: https://doi.org/10.3842/SIGMA.2020.029
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.
Keywords: non-Abelian Hodge theory, $\lambda$-connection, moduli space, conformal limit, Hitchin section, oper, stratification, twistor space.
Funding agency Grant number
China Scholarship Council 201706340032
The author is partial supported by China Scholarship Council (No. 201706340032).
Received: August 23, 2019; in final form April 8, 2020; Published online April 19, 2020
Bibliographic databases:
Document Type: Article
MSC: 14D20, 14D21, 32G20, 53C07, 57N80
Language: English
Citation: Pengfei Huang, “Non-Abelian Hodge Theory and Related Topics”, SIGMA, 16 (2020), 029, 34 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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