Mathematical Sciences: Low-Dimensional Manifolds and Knot Theory

数学科学：低维流形和结理论

• 批准号: 9001478
• 负责人: Cameron Gordon
• 金额: $ 21.31万
• 依托单位: University of Texas at Austin
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-06-01 至 1994-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9001478&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Low; Dimensional; Manifolds

Professor Gordon will continue to investigate problems in the topology of low-dimensional manifolds, especially those related to knot theory. A particular topic that will receive attention is Dehn surgery on knots and links, a construction that is relevant to many fundamental questions concerning the structure of 3-dimensional manifolds. The structure of three-dimensional manifolds, very natural geometric objects of the same dimension as the space in which we live, remains an important and surprisingly mysterious subject for mathematical investigation.

戈登教授将继续研究 低维流形的拓扑，尤其是那些 与纽结理论有关。 一个特定的主题， 注意是Dehn手术的结和链接，一个建设， 与许多基本问题有关， 三维流形的结构 三维流形的结构，非常自然 与我们所在的空间具有相同维度的几何物体， 生活，仍然是一个重要的和令人惊讶的神秘主题 进行数学研究。