论文标题

谎言群体和切恩·西蒙斯理论

Lie groups and Chern-Simons Theory

论文作者

Himpel, Benjamin

论文摘要

Witten于1989年将古典Chern-Simons理论引入了拓扑结构,当时他通过一个不可或缺的无限维空间定义了一个不可或缺的3个manifolds结的不变性,到目前为止尚未完全理解这一空间。但是,他们激发了许多有趣的问题和结论和低维拓扑的结果,以及全新领域的发展。 这些是针对研究生的谎言组和Chern-Simons理论的课程的讲义。

Witten introduced classical Chern-Simons theory to topology in 1989, when he defined an invariant for knots in 3-manifolds by an integral over a certain infinite-dimensional space, which up to today have not been entirely understood. However, they motivated lots of interesting questions and results in knot theory and low-dimensional topology, as well as the development of entirely new fields. These are lecture notes for a course in Lie groups and Chern-Simons Theory aimed at graduate students.

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