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Paul Cusson (University of Waterloo)
Spectral data of SU(2)-monopoles with symmetry group S^1
We will prove the existence and uniqueness of a Euclidean SU(2)-monopole with a given charge, center, S^1 symmetry group, and axis of symmetry. This will be proven using a theorem of Hitchin regarding the equivalence of SU(2)-monopoles and the cohomological data obtained from spectral curves.
MC 5417