Mathematical Sciences: Topological Rigidity

数学科学：拓扑刚性

• 批准号: 8801312
• 负责人: F. Thomas Farrell
• 金额: $ 9.75万
• 依托单位: Columbia University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-07-01 至 1990-11-15
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8801312&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Topological; Rigidity

F. Thomas Farrell, in collaboration with L. E. Jones (of S.U.N.Y. at Stony Brook), hopes to make surgery theory a reasonable method for calculating the homotopy-topological structure set of a compact manifold M provided its fundamental group is a matrix group and the dimension of M is greater than 4. (Stronger constraints on the fundamental group may be necessary; e.g., that it is torsion-free and is an arithmetic subgroup of a semi-simple algebraic group defined over the rationals.) A second (and related) problem is to make Waldhausen's work the basis of a reasonable method for calculating.

F. Thomas Farrell与L. E. Jones（Stony Brook的S.U.N.Y.的L. E. Jones）合作，希望使手术理论成为一个合理的方法，用于计算紧凑型歧管M的同性恋结构集，提供其基本组是一个尺寸和尺寸组和尺寸M的大于4。（可能需要对基本组的强大约束；例如，它是无扭转的，并且是在理由上定义的半简单代数组的算术亚组。）一秒钟（和相关）（和相关）问题是要使Waldhausen的工作成为一种合理的计算方法的基础。