The Limit of the Yang-Mills-Higgs Flow on Higgs Bundles | |
Li, Jiayu1,2; Zhang, Xi1 | |
刊名 | INTERNATIONAL MATHEMATICS RESEARCH NOTICES |
2017 | |
期号 | 1页码:232-276 |
ISSN号 | 1073-7928 |
DOI | 10.1093/imrn/rnw008 |
英文摘要 | In this article, we consider the gradient flow of the Yang-Mills-Higgs functional for Higgs pairs on a Hermitian vector bundle (E, H-0) over a compact Kahler manifold (M, omega). We study the asymptotic behavior of the Yang-Mills-Higgs flow for Higgs pairs at infinity and show that the limiting Higgs sheaf is isomorphic to the double dual of the graded Higgs sheaves associated to the Harder-Narasimhan-Seshadri filtration of the initial Higgs bundle. |
资助项目 | NSF in China[11571332] ; NSF in China[11131007] ; NSF in China[11526212] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | OXFORD UNIV PRESS |
WOS记录号 | WOS:000393798000008 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24697] |
专题 | 数学所 |
通讯作者 | Zhang, Xi |
作者单位 | 1.Univ Sci & Technol China, Chinese Acad Sci, Sch Math Sci, Key Lab Wu Wen Tsun Math, Hefei 230026, Peoples R China 2.Chinese Acad Sci, AMSS, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Jiayu,Zhang, Xi. The Limit of the Yang-Mills-Higgs Flow on Higgs Bundles[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2017(1):232-276. |
APA | Li, Jiayu,&Zhang, Xi.(2017).The Limit of the Yang-Mills-Higgs Flow on Higgs Bundles.INTERNATIONAL MATHEMATICS RESEARCH NOTICES(1),232-276. |
MLA | Li, Jiayu,et al."The Limit of the Yang-Mills-Higgs Flow on Higgs Bundles".INTERNATIONAL MATHEMATICS RESEARCH NOTICES .1(2017):232-276. |
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