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Title: Monopoles and complex curves
Author: Mahassen, N.
Awarding Body: University of Wales Swansea
Current Institution: Swansea University
Date of Award: 2003
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In this thesis I study the geometry of the monopole equations on complex curves. The moduli space is shown to be compact and carries a Kähler structure. The unformization theorem of complex analysis is derived from scratch from the monopole equations. I then study the non-abelian generalization of the equations which can be regarded as a generalization of Yang-Mills theory on Riemann surfaces. Some background material is provided, including an introduction to differential and spin geometry on complex curves.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available