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Monopoles and complex curves. / Nadim Mahassen

Swansea University Author: Nadim Mahassen

Abstract

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 Kahler structure. Zero dimensional moduli spaces are investigated along with their relation to the uniformization theorem. I then study the non-abelian analogue of t...

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Published: 2002
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42518
first_indexed 2018-08-02T18:54:54Z
last_indexed 2018-08-03T10:10:22Z
id cronfa42518
recordtype RisThesis
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spelling 2018-08-02T16:24:29.5249906 v2 42518 2018-08-02 Monopoles and complex curves. 0c9b312877ff5e0ae976fffbac9f5efd NULL Nadim Mahassen Nadim Mahassen true true 2018-08-02 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 Kahler structure. Zero dimensional moduli spaces are investigated along with their relation to the uniformization theorem. I then study the non-abelian analogue of the equations which can be regarded as a generalization of Yang-Mills theory on Riemann surfaces. Possible relations with three dimensional topology are discussed. Some background material is provided, including an introduction to differential and spin geometry on complex curves and four-manifolds. E-Thesis Theoretical physics. 31 12 2002 2002-12-31 COLLEGE NANME Physics COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:29.5249906 2018-08-02T16:24:29.5249906 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Nadim Mahassen NULL 1 0042518-02082018162500.pdf 10805267.pdf 2018-08-02T16:25:00.8200000 Output 2746168 application/pdf E-Thesis true 2018-08-02T16:25:00.8200000 false
title Monopoles and complex curves.
spellingShingle Monopoles and complex curves.
Nadim Mahassen
title_short Monopoles and complex curves.
title_full Monopoles and complex curves.
title_fullStr Monopoles and complex curves.
title_full_unstemmed Monopoles and complex curves.
title_sort Monopoles and complex curves.
author_id_str_mv 0c9b312877ff5e0ae976fffbac9f5efd
author_id_fullname_str_mv 0c9b312877ff5e0ae976fffbac9f5efd_***_Nadim Mahassen
author Nadim Mahassen
author2 Nadim Mahassen
format E-Thesis
publishDate 2002
institution Swansea University
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description 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 Kahler structure. Zero dimensional moduli spaces are investigated along with their relation to the uniformization theorem. I then study the non-abelian analogue of the equations which can be regarded as a generalization of Yang-Mills theory on Riemann surfaces. Possible relations with three dimensional topology are discussed. Some background material is provided, including an introduction to differential and spin geometry on complex curves and four-manifolds.
published_date 2002-12-31T04:25:09Z
_version_ 1851093899362172928
score 11.089386

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