Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A GNS construction of three-dimensional abelian Dijkgraaf-Witten
  theories   We give a detailed account of the so-called "universal construction" that
aims to extend invariants of closed manifolds, possibly with additional
structure, to topological field theories and show that it amounts to a
generalization of the GNS construction. We apply this construction to an
invariant defined in terms of the groupoid cardinality of groupoids of bundles
to recover Dijkgraaf-Witten theories, including the vector spaces obtained as a
linearization of spaces of principal bundles.

34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas