Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular $G$-monopoles on $S^1\times \Sigma$   This article provides an account of the functorial correspondence between
irreducible singular $G$-monopoles on $S^1\times \Sigma$ and $\vec{t}$-stable
meromorphic pairs on $\Sigma$. The main theorem of [1] is thus generalized here
from unitary to arbitrary compact, connected gauge groups. The required
distinctions and similarities for unitary versus arbitrary gauge are clearly
outlined and many parallels are drawn for easy transition. Once the
correspondence theorem is complete, the spectral decomposition is addressed.

28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol