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arXiv · 1512.02979

Partial compactification of monopoles and metric asymptotics

Chris Kottke·Michael Singer
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Abstract

We construct a partial compactification of the moduli space, M_k, of SU(2) magnetic monopoles on R^3, wherein monopoles of charge k decompose into widely separated 'monopole clusters' of lower charge going off to infinity at comparable rates. The hyperKahler metric on M_k has a complete asymptotic expansion up to the boundary, the leading term of which generalizes the asymptotic metric discovered by Bielawski, Gibbons and Manton in the case that each lower charge is 1.

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Chris Kottke, Michael Singer. 2015-12-09. Partial compactification of monopoles and metric asymptotics. https://arxiv.org/abs/1512.02979

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