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.

引用

页数：12

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