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Knot Theory, The Jones Polynomial and Chern-Simons Theory

Mifsud, Paul (2018) Knot Theory, The Jones Polynomial and Chern-Simons Theory. Bachelor's Thesis, Mathematics.


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In this bachelor thesis we first give a general overview of Knot Theory. In particular we describe the Jones Polynomial invariant of links. Then we introduce Gauge Field Theories, in particular those with gauge groups U (1) and SU (2). Finally we introduce a non-Abelian Chern-Simons Theory with gauge group SU (2) and we show how we can use this theory to rediscover the Jones Polynomial using an intrinsically 3-dimensional approach.

Item Type: Thesis (Bachelor's Thesis)
Supervisor name: Pallante, E. and Kiselev, A.V.
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 18 Jul 2018
Last Modified: 18 Jul 2018 10:37

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