The Yang-Mills equations on Kahler manifolds
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...Expand abstract
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- University of Oxford
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- Donaldson, S. K.
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- The digital copy of this thesis has been made available thanks to the generosity of Dr Leonard Polonsky
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