Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $G_2$-monopoles with singularities (examples)   $G_2$-monopoles are solutions to gauge theoretical equations on
$G_2$-manifolds. If the $G_2$-manifolds under consideration are compact, then
any irreducible $G_2$-monopole must have singularities. It is then important to
understand which kind of singularities $G_2$-monopoles can have. We give
examples (in the noncompact case) of non-Abelian monopoles with Dirac type
singularities, and examples of monopoles whose singularities are not of that
type. We also give an existence result for Abelian monopoles with Dirac type
singularities on compact manifolds. This should be one of the building blocks
in a gluing construction aimed at constructing non-Abelian ones.

11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph