Non-Abelian Hodge Theory and Related Topics
This 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 wit...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2020 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210581 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Non-Abelian Hodge Theory and Related Topics. Pengfei Huang. SIGMA 16 (2020), 029, 34 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862546195667222528 |
|---|---|
| author | Huang, Pengfei |
| author_facet | Huang, Pengfei |
| citation_txt | Non-Abelian Hodge Theory and Related Topics. Pengfei Huang. SIGMA 16 (2020), 029, 34 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | This 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.
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| first_indexed | 2025-12-17T12:03:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210581 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-17T12:03:33Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Huang, Pengfei 2025-12-12T10:28:28Z 2020 Non-Abelian Hodge Theory and Related Topics. Pengfei Huang. SIGMA 16 (2020), 029, 34 pages 1815-0659 2020 Mathematics Subject Classification: 14D20; 14D21; 32G20; 53C07; 57N80 arXiv:1908.08348 https://nasplib.isofts.kiev.ua/handle/123456789/210581 https://doi.org/10.3842/SIGMA.2020.029 This 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. The 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). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Non-Abelian Hodge Theory and Related Topics Article published earlier |
| spellingShingle | Non-Abelian Hodge Theory and Related Topics Huang, Pengfei |
| title | Non-Abelian Hodge Theory and Related Topics |
| title_full | Non-Abelian Hodge Theory and Related Topics |
| title_fullStr | Non-Abelian Hodge Theory and Related Topics |
| title_full_unstemmed | Non-Abelian Hodge Theory and Related Topics |
| title_short | Non-Abelian Hodge Theory and Related Topics |
| title_sort | non-abelian hodge theory and related topics |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210581 |
| work_keys_str_mv | AT huangpengfei nonabelianhodgetheoryandrelatedtopics |