The Limit of the Yang-Mills-Higgs Flow on Higgs Bundles

doi:10.1093/imrn/rnw008

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	The Limit of the Yang-Mills-Higgs Flow on Higgs Bundles
	Li, Jiayu1,2 ; Zhang, Xi 1
	2017
发表期刊	INTERNATIONAL MATHEMATICS RESEARCH NOTICES
ISSN	1073-7928
期号	1 页码:232-276
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.
DOI	10.1093/imrn/rnw008
语种	英语
资助项目	NSF in China[11571332] ; NSF in China[11131007] ; NSF in China[11526212]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000393798000008
出版者	OXFORD UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24698
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.