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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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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)
Supervisor:
Supervisor nameSupervisor E mail
Pallante, E.E.Pallante@rug.nl
Kiselev, A.V.A.V.Kiselev@rug.nl
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 18 Jul 2018
Last Modified: 18 Jul 2018 10:37
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/17935

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