Mathematical Sciences: "Geometry of Charateristic Classes"

数学科学：“特征类的几何”

• 批准号: 9504237
• 负责人: Dennis McLaughlin
• 金额: $ 3万
• 依托单位: Princeton University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-08-01 至 1997-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9504237&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Geometry; Charateristic; Classes

9504237 McLaughlin The proposed research lies in the interface of differential topology and mathematical physics. More specifically, it deals with the so called Wess-Zumino-Witten vector bundle on Teichmuller space and is an attempt to give a rigorous formula for the projectively flat connection on this bundle. In recent years several unexpected relations between topology and mathematical physics have been discovered. If completely successful, the proposed research - which is originally motivated by problems in quantum field theory - will likely shed a new light on the study of 3-dimensional spaces and knot theory.

小行星9504237 本文的研究工作是在微分拓扑学和数学物理学的结合点上进行的。更具体地说，它讨论了Teichmuller空间上的Wess-Zumino-维滕向量丛，并试图给出这类丛上射影平坦联络的严格公式. 近年来，人们发现了拓扑学与数学物理之间的一些意想不到的关系。如果完全成功，这项最初由量子场论问题激发的拟议研究可能会为三维空间和纽结理论的研究带来新的曙光。