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Institute for Advanced Study（高等研究院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文定义三维流形上规范联络的Chern-Simons不变量，阐述其在量子霍尔效应及分数量子霍尔效应理解中的关键作用。
AI 中文摘要
在本文中，我将定义三维流形上规范联络的Chern-Simons不变量，并解释其一些特殊性质，特别是它在理解量子霍尔效应中的作用。量子霍尔效应是凝聚态物理中的一个重要效应，本文还涉及其推广形式——分数量子霍尔效应。（本文基于2013年在纽约城市大学研究生中心举行的庆祝James Simons 75岁生日的会议上的演讲，将发表于《美国数学学会通报》。）
英文摘要
In this article, I will define the Chern-Simons invariant of a gauge connection over a three-manifold and explain some of the things that are special about it, in particular its role in understanding the quantum Hall effect, which is an important effect in condensed matter physics, and its generalization, the fractional quantum Hall effect. (The article is based on a lecture at a conference celebrating the 75th birthday of James Simons, held at the CUNY Graduate Center in 2013. It will appear in the Bulletin of the American Math Society.
Comments17 pp, minor corrections in v. 2
