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Moduli space of periodic monopoles and Hitchin equations on a cylinder

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Metric and Analytic Aspects of Moduli Spaces

The Nahm transform relates periodic monopoles to periodic solutions of the Hitchin equations. I will identify the moduli in the 2-monopole case and construct the asymptotic metric. The symmetries of the system allow us to identify two geodesic submanifolds. I will describe their topology and the resulting monopole scattering through symmetric geodesics in the centre of the moduli space.

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

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