Mathematical Sciences: Applications of Differential Geometryand Global Analysis to Low Dimensional Topology

数学科学：微分几何和全局分析在低维拓扑中的应用

• 批准号: 8703413
• 负责人: Ronald Stern
• 金额: $ 20.61万
• 依托单位: University of Utah
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-07-01 至 1990-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8703413&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Applications; Differential; Geometryand

The principal investigator will continue his study of the structure of smooth 4-dimensional manifolds using techniques from geometry and analysis. At the heart of this investigation will be the classification of the homotopy types of closed smooth 4- manifolds. Gauge theoretic methods pioneered by Simon Donaldson were the original impetus for much of this work. In its marriage of theoretical physics, geometry, analysis, and topology, it is one of the most dramatic cross-disciplinary developments of recent years.

首席研究员将继续研究 结构的光滑四维流形使用的技术，从 几何和分析。 这次调查的核心是 是闭光滑4- 流形 规范理论方法由西蒙唐纳森开创 是这项工作的最初动力。 在婚姻中 理论物理学、几何学、分析学和拓扑学， 最引人注目的跨学科发展之一， 近年