Lie groups and Chern-Simons Theory

Benjamin Himpel

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arXiv · 2207.11062

Lie groups and Chern-Simons Theory

Benjamin Himpel

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Abstract

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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BibTeX RIS

Benjamin Himpel. 2022-07-22. Lie groups and Chern-Simons Theory. https://arxiv.org/abs/2207.11062

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