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Some Characterizations of Dirac Type Singularity of Monopoles

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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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Authors and Affiliations

  1. Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan

    Takuro Mochizuki & Masaki Yoshino

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  1. Takuro Mochizuki
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  2. Masaki Yoshino
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Correspondence to Takuro Mochizuki.

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Communicated by N. Nekrasov

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Mochizuki, T., Yoshino, M. Some Characterizations of Dirac Type Singularity of Monopoles. Commun. Math. Phys. 356, 613–625 (2017). https://doi.org/10.1007/s00220-017-2981-z

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  • DOI: https://doi.org/10.1007/s00220-017-2981-z

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