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Singular Hyperbolic Monopoles

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Abstract

We study the twistor theory of singular hyperbolic SU(2) monopoles following the approach taken by Kronheimer [9] in the Euclidean case. We use our results to show that the moduli space of charge 1 monopoles possesses a natural 2-sphere of scalar flat Kähler metrics. In the zero mass limit, the metrics reduce to a class of metrics first studied by LeBrun in [10].

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  1. Mathematical Institute, Oxford, OX1 3LB, UK

    Oliver Nash

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  1. Oliver Nash
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Correspondence to Oliver Nash.

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Communicated by G.W. Gibbons

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Nash, O. Singular Hyperbolic Monopoles. Commun. Math. Phys. 277, 161–187 (2008). https://doi.org/10.1007/s00220-007-0368-2

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