Mifsud, Paul (2018) Knot Theory, The Jones Polynomial and Chern-Simons Theory. Bachelor's Thesis, Mathematics.
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Abstract
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) |
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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 |
URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/17935 |
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