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Symmetry, Integrability and Geometry: Methods and Applications, 2019, Volume 15, 035, 30 pp.
DOI: https://doi.org/10.3842/SIGMA.2019.035 (Mi sigma1471) 		 
This article is cited in 9 scientific papers (total in 9 papers)

An Introduction to Higgs Bundles via Harmonic Maps

Qiongling Li

Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, China
Full-text PDF (637 kB) Citations (9)
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DOI: https://doi.org/10.3842/SIGMA.2019.035
Abstract: This survey studies equivariant harmonic maps arising from Higgs bundles. We explain the non-abelian Hodge correspondence and focus on the role of equivariant harmonic maps in the correspondence. With the preparation, we review current progress towards some open problems in the study of equivariant harmonic maps.
Keywords: Higgs bundles, harmonic maps, non-abelian Hodge correspondence.
Funding agency Grant number
National Science Foundation DMS-1246844
DMS 1107452
DMS 1107263
DMS 1107367
Nankai Zhide Foundation
UIC Start-Up Fund of Laura Schaposnik
The author acknowledges support from UIC NSF RTG Grant DMS-1246844, the UIC Start-Up Fund of Laura Schaposnik, and the grants NSF DMS 1107452, 1107263, 1107367 RNMS: GEometric structures And Representation varieties (the GEAR Network). The author acknowledges support from Nankai Zhide Foundation.
Received: October 16, 2018; in final form April 26, 2019; Published online May 4, 2019
Bibliographic databases:
Document Type: Article
MSC: 53C43, 53C07, 53C21
Language: English
Citation: Qiongling Li, “An Introduction to Higgs Bundles via Harmonic Maps”, SIGMA, 15 (2019), 035, 30 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 9 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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