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Monopoles on circle bundles

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Metric and Analytic Aspects of Moduli Spaces

In this talk, I will consider monopoles with Dirac type singularities on a circle bundle over a Riemann surface, and show that they correspond to holomorphic objects on the surface. When the bundle is trivial, one can show that the correspondence is bijective; in general, this is not yet proven, but the class of holomorphic objects is more interesting.

This talk is part of the Isaac Newton Institute Seminar Series series.

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