Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The caloron correspondence and higher string classes for loop groups   We review the caloron correspondence between $G$-bundles on $M \times S^1$
and $\Omega G$-bundles on $M$, where $\Omega G$ is the space of smooth loops in
the compact Lie group $G$. We use the caloron correspondence to define
characteristic classes for $\Omega G$-bundles, called string classes, by
transgression of characteristic classes of $G$-bundles. These generalise the
string class of Killingback to higher dimensional cohomology.

29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas