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  • 标题:Elliptic Yang–Mills equation
  • 本地全文:下载
  • 作者:Gang Tian
  • 期刊名称:Proceedings of the National Academy of Sciences
  • 印刷版ISSN:0027-8424
  • 电子版ISSN:1091-6490
  • 出版年度:2002
  • 卷号:99
  • 期号:24
  • 页码:15281-15286
  • DOI:10.1073/pnas.222494899
  • 语种:English
  • 出版社:The National Academy of Sciences of the United States of America
  • 摘要:We discuss some recent progress on the regularity theory of the elliptic Yang-Mills equation. We start with some basic properties of the elliptic Yang-Mills equation, such as Coulomb gauges, monotonicity, and curvature estimates. Next we discuss singularity of stationary Yang-Mills connections and compactness theorems on Yang-Mills connections with bounded L2 norm of curvature. We also discuss in some detail self-dual solutions of the Yang-Mills equation and describe a compactification of their moduli space.
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