Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative Monopoles and Riemann-Hilbert Problems   The Bogomolny equations for Yang-Mills-Higgs monopoles follow from a system
of linear equations which may be solved through a parametric Riemann-Hilbert
problem. We extend this approach to noncommutative R^3 and use it to
(re)construct noncommutative Dirac, Wu-Yang, and BPS monopole configurations in
a unified manner. In all cases we write down the underlying matrix-valued
functions for multi-monopoles and solve the corresponding Riemann-Hilbert
problems for charge one.

16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph