Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solutions of the Bogomolny Equation on R^3 with Certain Type of Knot
  Singularity   This paper studies the moduli space of solutions to the Bogomolny equation on
R^3 with a certain type of knot singularity. For technical reasons, I have to
assume the monodromy along the meridian of the knot lies in (0, 1/8) or in
(3/8, 1/2) and I don't know how to resolve this constraint. The main result of
this paper is: a neighbourhood of a solution to the Bogomolny equations on R^3
with such knot singularity in the moduli space has an analytical structure.
Moreover, certain solutions (that come from gluing a model solution with the
knot singularity and classical regular solutions) have a neighbourhood in the
moduli space that has a manifold structure.

30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con