Non-Abelian Hodge Theory and Related Topics

dc.contributor.authorHuang, Pengfei
dc.date.accessioned2025-12-12T10:28:28Z
dc.date.issued2020
dc.description.abstractThis paper is a survey aimed at 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.
dc.description.sponsorshipThe author would like to thank his thesis supervisor, Professor Carlos Simpson, for much help in the understanding of this subject and for the kind guidance and useful discussions, and thank Professor Jiayu Li for continuous encouragement. Moreover, the author would like to express his deep appreciation to the anonymous referees for their many valuable suggestions. The author is partially supported by the China Scholarship Council (No. 201706340032).
dc.identifier.citationNon-Abelian Hodge Theory and Related Topics. Pengfei Huang. SIGMA 16 (2020), 029, 34 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2020.029
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 14D20; 14D21; 32G20; 53C07; 57N80
dc.identifier.otherarXiv:1908.08348
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210581
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleNon-Abelian Hodge Theory and Related Topics
dc.typeArticle

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