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.
\Bibitem{Hua20}
\by Pengfei~Huang
\paper Non-Abelian Hodge Theory and Related Topics
\jour SIGMA
\yr 2020
\vol 16
\papernumber 029
\totalpages 34
\mathnet{http://mi.mathnet.ru/sigma1566}
\crossref{https://doi.org/10.3842/SIGMA.2020.029}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85084801202}
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https://www.mathnet.ru/eng/sigma1566
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This publication is cited in the following 3 articles:
Hu Zh., Huang P., “Simpson Filtration and Oper Stratum Conjecture”, Manuscr. Math., 167:3-4 (2022), 653–673
Chih-Chung Liu, Steven Rayan, Yuuji Tanaka, “The Kapustin–Witten equations and nonabelian Hodge theory”, European Journal of Mathematics, 8:S1 (2022), 23
Takuro Mochizuki, “Good Wild Harmonic Bundles and Good Filtered Higgs Bundles”, SIGMA, 17 (2021), 068, 66 pp.
Citation in format AMSBIB
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