Mathematical Sciences: The Seifert Conjecture

数学科学：塞弗特猜想

• 批准号: 9401408
• 负责人: Krystyna Kuperberg
• 金额: $ 8.25万
• 依托单位: Auburn University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-06-15 至 1997-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9401408&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Seifert; Conjecture

9401408 Kuperberg(K) The research involves the study of topological dynamics on 3-maifolds. The PI has already made a remarkable contribution to the subject by solving a problem concerned with the existence of trajectories on 3 dimensional manifolds. The current scope of research entails applying the techniques to higher dimensions and to other cases as described in the project description. Results in this direction would have very significant consequences to dynamical systems, differential topology and mathematical physics. ***

9401408 Kuperberg(K) 该研究涉及三元拓扑动力学的研究。通过解决与 3 维流形上轨迹的存在性有关的问题，PI 已经对该主题做出了显着的贡献。当前的研究范围需要将这些技术应用于更高的维度以及项目描述中描述的其他情况。这个方向的结果将对动力系统、微分拓扑和数学物理产生非常重要的影响。 ***