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Title: Gauge theory on Calabi-Yau manifolds
Author: Thomas, Richard P. W.
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 1997
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We study complex analogues on Calabi-Yau manifolds of gauge theories on low dimensional real manifolds. In particular we define a holomorphic analogue of the Casson invariant, counting coherent sheaves on a Calabi-Yau 3-fold.
Supervisor: Donaldson, Simon K. Sponsor: Engineering and Physical Sciences Research Council
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Mathematics ; Algebraic geometry ; Calabi-Yau ; Gauge theory ; moduli ; holomorphic bundles ; coherent sheaves