"Manifolds, knots and groups"

“流形、结和组”

• 批准号: 8082-2012
• 负责人: Rolfsen, Dale
• 金额: $ 1.53万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2012
• 资助国家: 加拿大
• 起止时间: 2012-01-01 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=508733
• 关键词: Manifolds; knots; groups

Three-dimensional manifolds describe the possible shapes of our universe, and also arise in many applications such as dynamical systems. The proposal is to develop algebraic and geometric tools to apply toward our deeper understanding of 3-manifolds and their structure. These tools are also useful in the theory of knots and other topological phenomena.

三维流形描述了我们宇宙的可能形状，也出现在许多应用中，如动力系统。 该计划旨在开发代数和几何工具，以帮助我们更深入地理解三维流形及其结构。 这些工具在纽结和其他拓扑现象的理论中也很有用。