Sánchez Galán, Raúl;
(2019)
Monopoles in R^3.
Doctoral thesis (Ph.D), UCL (University College London).
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Abstract
The aim of this thesis is to investigate the moduli space of framed monopoles with structure group $SU(N)$ over the radial compactification of $\R^3$. The moduli space of monopoles is provided with the differential structure of a smooth manifold in a similar way as it is done for instantons, that is, via a slice theorem. Later, the dimension of this manifold is computed using an index formula developed by C. Kottke. This result agrees with the one coming from the bijection with rational maps obtained by S. Jarvis.
| Type: | Thesis (Doctoral) |
|---|---|
| Qualification: | Ph.D |
| Title: | Monopoles in R^3 |
| Event: | UCL (University College London) |
| Open access status: | An open access version is available from UCL Discovery |
| Language: | English |
| Additional information: | Copyright © The Author 2019. Original content in this thesis is licensed under the terms of the Creative Commons Attribution 4.0 International (CC BY 4.0) Licence (https://creativecommons.org/licenses/by/4.0/). Any third-party copyright material present remains the property of its respective owner(s) and is licensed under its existing terms. Access may initially be restricted at the author’s request. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10069278 |
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