Mathematical Sciences: Theoretical and Experimental Aspects of the Topology and Dynamics of 3-Manifolds

数学科学：3-流形拓扑和动力学的理论和实验

• 批准号: 9407975
• 负责人: Joseph Christy
• 金额: $ 4万
• 依托单位: Mathematical Sciences Research Institute
• 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 1997-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9407975&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Theoretical; Experimental; Aspects

9407975 Christy The research entails the study of low dimensional dynamical systems and relevant topological structures. The techniques are drawn from combinatorial topology and hyperbolic systems. The aim is a classification of low dimensional systems which can be implemented via algorithmic design to computational methods. This would then lead to applications in other areas of mathematics, such as the topological structures on 3-manifolds and and quantum field theory. ***

小行星9407975 该研究需要研究低维动力系统和相关的拓扑结构。这些技巧来自组合拓扑学和双曲系统。我们的目标是分类的低维系统，可以通过算法设计计算方法来实现。 这将导致在其他数学领域的应用，如三维流形上的拓扑结构和量子场论。 ***