The limit of the Yang-Mills-Higgs flow for twisted Higgs pairs

被引：0
|
作者：
Pan, Changpeng [1 ]
Shen, Zhenghan [1 ]
Zhang, Pan [2 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Math & Stat, Nanjing 210094, Peoples R China
[2] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2024年 / 21卷 / 04期
关键词：
Yang-Mills-Higgs flow; twisted Higgs pair; Harder-Narasimhan-Seshadri filtration; HITCHIN-KOBAYASHI CORRESPONDENCE; ALGEBRAIC VARIETY; FUNDAMENTAL GROUP; STABLE BUNDLES; EQUATIONS; SPACE; SINGULARITIES; CONVERGENCE; CONNECTIONS; REGULARITY;
D O I：
10.1142/S0219887824500750
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we consider the Yang-Mills-Higgs flow for twisted Higgs pairs over Kahler manifolds. We prove that this flow converges to a reflexive twisted Higgs sheaf outside a closed subset of codimension 4, and the limiting twisted Higgs sheaf is isomorphic to the double dual of the graded twisted Higgs sheaves associated to the Harder-Narasimhan-Seshadri filtration of the initial twisted Higgs bundle.
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页数：36
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