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arXiv · 1702.06268

Some characterizations of Dirac type singularity of monopoles

Takuro Mochizuki·Masaki Yoshino
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Abstract

We study singular monopoles on open subsets in the $3$-dimensional Euclidean space. We give two characterizations of Dirac type singularities. One is given in terms of the growth order of the norms of sections which are invariant by the scattering map. The other is given in terms of the growth order of the norms of the Higgs fields.

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Takuro Mochizuki, Masaki Yoshino. 2017-02-21. Some characterizations of Dirac type singularity of monopoles. https://doi.org/10.1007/s00220-017-2981-z

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