Thesis

The Yang-Mills equations on Kahler manifolds

Abstract:

Two special classes of solutions to the Yang-Mills equations are studied in this thesis; Hermitian-Einstein connections on holomorphic bundles over Kahler manifolds, and self-dual connections on bundles over Riemannian 4-manifolds.

We give a new proof of a theorem of Narasimhan and Seshadri, which characterizes those holomorphic bundles over an algebraic curve admitting projectively flat connections, and describe a conjecture of Hitchin and Kobayashi that would extend this to Hermi...

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Institution:
University of Oxford
Department:
Faculty of Mathematical Sciences
Role:
Author

Contributors

Role:
Supervisor
Publication date:
1982
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Barcode:
603840235
URN:
uuid:4a728d07-8f2e-4c73-a756-90cd5972d4b1
Local pid:
td:603840235
Language:
English
Subjects: