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Thesis

The Dirac-Higgs bundle

Abstract:

The Dirac–Higgs bundle is a vector bundle with a natural connection on the moduli space of stable Higgs bundles on a compact Riemann surface. It is a vector bundle of null-spaces of a Dirac-operator coupled to stable Higgs bundles. In this thesis, we study various aspects of this bundle and its natural connection.

The Dirac–Higgs bundle is hyperholomorphic on the smooth hyperkähler moduli space of stable Higgs bundles. This property is a generalisation of the four-dimensional anti- ...

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Institution:
University of Oxford
Oxford college:
Balliol College
Role:
Author

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Role:
Supervisor
Rejselegat for Matematikere More from this funder
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:6e081810-f042-4b3e-9f7c-9eee3c930c35
Deposit date:
2016-06-04

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