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Some characterizations of Dirac type singularity of monopoles

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arxiv 1702.06268 v1 pith:UR6ECN6L submitted 2017-02-21 math.DG math-phmath.MP

Takuro Mochizuki , Masaki Yoshino This is my paper · ORCID
classification math.DGmath-phmath.MP
keywords characterizationsdiracgivengrowthmonopolesnormsorderterms
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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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  1. Non-Abelian Hodge Theory and Related Topics

    math.AG 2019-08 conditional novelty 4.0 of 10

    A survey of non-Abelian Hodge theory and related moduli spaces, with a new explicit description of Simpson filtrations for rank 3 flat bundles.

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