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Monopole chains with cyclic symmetry

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Metric and Analytic Aspects of Moduli Spaces

Monopoles are solutions to the gauge-theoretic Yang-Mills-Higgs equations; their moduli spaces are hyperkaehler manifolds. Although it is difficult to construct monopole explicitly, much can be said about their symmetries: for example, there are known examples of monopoles on R3 whose symmetry corresponds to a symmetry group coincides with that of a Platonic solid and which are uniquely determined by their symmetries. In this talk I will discuss analogous results for monopoles on R2xS^1, also known as “monopole chains”. The main result is a classification of cyclic symmetries of monopole chains, based on careful analysis of their spectral data.

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

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