Some characterizations of Dirac type singularity of monopoles
Differential Geometry
2017-09-13 v1 Mathematical Physics
math.MP
Abstract
We study singular monopoles on open subsets in the -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.
Keywords
Cite
@article{arxiv.1702.06268,
title = {Some characterizations of Dirac type singularity of monopoles},
author = {Takuro Mochizuki and Masaki Yoshino},
journal= {arXiv preprint arXiv:1702.06268},
year = {2017}
}