Energy estimates of Yang-Mills functional

被引：0
|
作者：
Huang, Teng [1 ,2 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
[2] Chinese Acad Sci, Key Lab Wu Wen Tsun Math, Hefei 230026, Anhui, Peoples R China
来源：
JOURNAL OF TOPOLOGY AND ANALYSIS | 2023年
基金：
中国国家自然科学基金;
关键词：
Uhlenbeck compactness; ASD connection; energy discretization; CONNECTIONS; COMPACTNESS; GAP;
D O I：
10.1142/S1793525323500619
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we use the Uhlenbeck compactness theorem and Lojasiewicz-Simon gradient inequality of the Yang-Mills L2-energy functional to prove some energy properties of Yang-Mills connections. In particular, we can get the discreteness of Yang-Mills energy from the compactness of the moduli space of Yang-Mills connections.
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页数：12
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