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arXiv 2015-12-09 0 views

Partial compactification of monopoles and metric asymptotics

Kottke, Chris · Singer, Michael

Original · EN

We construct a partial compactification of the moduli space, Mₖ, of SU(2) magnetic monopoles on R³, 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 Mₖ 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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