Mathematical Sciences: Investigations of Three-dimensional Manifolds and Their Mappings

数学科学：三维流形及其映射的研究

• 批准号: 8701666
• 负责人: Darryl McCullough
• 金额: $ 3.4万
• 依托单位: University of Oklahoma Norman Campus
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-07-01 至 1990-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8701666&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Investigations; Three; dimensional

McCullough will continue to work on structure and mappings of three-dimensional manifolds. In individual projects, or joint projects with off-campus mathematicians, he will work on the mapping class groups and diffeomorphism groups of 3-manifolds. Techniques will be drawn from several areas, including combinatorical topology, hyperbolic geometry, and combinatorial group theory. 3-manifolds are particularly important objects to understand, since we live in a 3-dimensional universe.

麦卡洛将继续致力于结构和映射 三维流形。 在单独项目中，或联合 项目与校外数学家，他将致力于 3-流形的映射类群和自同态群。 技术将从几个领域，包括 组合拓扑、双曲几何和组合 群论 3-流形是特别重要的对象， 因为我们生活在一个三维的宇宙中。