Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A reciprocity formula from abelian BF and Turaev-Viro theories   In this article we show that the use of Deligne-Beilinson cohomology in the
context of the $U(1)$ BF theory on a closed 3-manifold $M$ yields a discrete
$\Z_N$ BF theory whose partition function is an abelian TV invariant of $M$. By
comparing the expectation values of the $U(1)$ and $\mathbb{Z}_N$ holonomies in
both BF theories we obtain a reciprocity formula.

12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
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The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
18
The categories of this paper are: econ