Mathematical Sciences: Cohomology of the Mapping Class Group and the Moduli Space of Curves

数学科学：映射类群的上同调和曲线的模空间

• 批准号: 8903247
• 负责人: John Harer
• 金额: $ 4.92万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-06-01 至 1991-08-01
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8903247&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Cohomology; Mapping; Class

Professor John Harer plans to continue computing the homology of the moduli spaces and related spaces. He also intends to pursue further the connections between the Arbarello flag (and related flags) for a certain space of moduli and the Schubert cells of the Grassmannians of Hilbert space. This project brings together important objects from classical analysis, the moduli spaces of Riemann surfaces of genus g, with important objects from topology, n.dimensional manifolds and various associated groups. Results obtained can therefore be expected to interest a wide audience of mathematicians.

约翰·哈雷教授计划继续计算 模空间和相关空间的同调。 他还 打算进一步追查阿巴雷洛 标志（和相关标志）的一定空间的模数和 希尔伯特空间的格拉斯曼算子的舒伯特胞。 这个项目汇集了来自 经典分析，黎曼曲面的模空间， 亏格g，具有来自拓扑学的重要对象，n维 流形和各种相关的群。 结果可 因此，预计将引起广大观众的兴趣， 数学家