Mathematical Sciences: The Complex Geometry of Equivariant Yang-Mills Connections

数学科学：等变杨米尔斯连接的复杂几何

• 批准号: 9404468
• 负责人: Jan Segert
• 金额: $ 3.13万
• 依托单位: University of Missouri-Columbia
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-01 至 1997-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9404468&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Complex; Geometry; Equivariant

9404468 Segert The scope of research entails studying the geometry and analysis of Yang-Mills fields in mathematical physics in particular the nature of the non-self-dual fields and their topological significance. It is also proposed to consider the existence of locally almost complex structures on the six- dimensional sphere. This research has potential applications to gauge field theory in mathematical physics. ***

9404468塞格特的研究范围包括研究数学物理中杨-米尔斯场的几何和分析，特别是非自对偶场的性质及其拓扑意义。文中还考虑了六维球面上局部几乎复结构的存在性。这项研究对数学物理中的规范场理论具有潜在的应用价值。***