Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Model of Three-Dimensional Lattice Gravity   A model is proposed which generates all oriented $3d$ simplicial complexes
weighted with an invariant associated with a topological lattice gauge theory.
When the gauge group is $SU_q(2)$, $q^n=1,$ it is the Turaev-Viro invariant and
the model may be regarded as a non-perturbative definition of $3d$ simplicial
quantum gravity. If one takes a finite abelian group $G$, the corresponding
invariant gives the rank of the first cohomology group of a complex
\nolinebreak $C$: $I_G(C) = rank(H^1(C,G))$, which means a topological
expansion in the Betti number $b^1$. In general, it is a theory of the
Dijkgraaf-Witten type, $i.e.$ determined completely by the fundamental group of
a manifold.

36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol