ADE Bundles over Surfaces

This is a review paper about ADE bundles over surfaces. Based on the deep connections between the geometry of surfaces and ADE Lie theory, we construct the corresponding ADE bundles over surfaces and study some related problems.

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2022
Main Authors: Chen, Yunxia, Leung, Naichung Conan
Format: Article
Language:English
Published: Інститут математики НАН України 2022
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211817
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:ADE Bundles over Surfaces. Yunxia Chen and Naichung Conan Leung. SIGMA 18 (2022), 087, 21 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Chen, Yunxia
Leung, Naichung Conan
author_facet Chen, Yunxia
Leung, Naichung Conan
citation_txt ADE Bundles over Surfaces. Yunxia Chen and Naichung Conan Leung. SIGMA 18 (2022), 087, 21 pages
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description This is a review paper about ADE bundles over surfaces. Based on the deep connections between the geometry of surfaces and ADE Lie theory, we construct the corresponding ADE bundles over surfaces and study some related problems.
first_indexed 2026-03-21T10:54:11Z
format Article
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id nasplib_isofts_kiev_ua-123456789-211817
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2026-03-21T10:54:11Z
publishDate 2022
publisher Інститут математики НАН України
record_format dspace
spelling Chen, Yunxia
Leung, Naichung Conan
2026-01-12T10:17:46Z
2022
ADE Bundles over Surfaces. Yunxia Chen and Naichung Conan Leung. SIGMA 18 (2022), 087, 21 pages
1815-0659
2020 Mathematics Subject Classification: 53C10; 14H60
arXiv:2210.08771
https://nasplib.isofts.kiev.ua/handle/123456789/211817
https://doi.org/10.3842/SIGMA.2022.087
This is a review paper about ADE bundles over surfaces. Based on the deep connections between the geometry of surfaces and ADE Lie theory, we construct the corresponding ADE bundles over surfaces and study some related problems.
The authors thank Jia Jin Zhang for many discussions and collaborations over the years. And we also want to thank the referees for providing constructive comments and help in improving the contents of this paper. The work of N. Leung described in this paper was substantially supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. CUHK14301619 and CUHK14306720) and a direct grant from CUHK (Project No. CUHK4053400). The work of Y.X. Chen described in this paper was supported by the Natural Science Foundation of Shanghai (No.19ZR1411700).
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
ADE Bundles over Surfaces
Article
published earlier
spellingShingle ADE Bundles over Surfaces
Chen, Yunxia
Leung, Naichung Conan
title ADE Bundles over Surfaces
title_full ADE Bundles over Surfaces
title_fullStr ADE Bundles over Surfaces
title_full_unstemmed ADE Bundles over Surfaces
title_short ADE Bundles over Surfaces
title_sort ade bundles over surfaces
url https://nasplib.isofts.kiev.ua/handle/123456789/211817
work_keys_str_mv AT chenyunxia adebundlesoversurfaces
AT leungnaichungconan adebundlesoversurfaces