Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The hyperbolic volume of knots from quantum dilogarithm   The invariant of a link in three-sphere, associated with the cyclic quantum
dilogarithm, depends on a natural number $N$. By the analysis of particular
examples it is argued that for a hyperbolic knot (link) the absolute value of
this invariant grows exponentially at large $N$, the hyperbolic volume of the
knot (link) complement being the growth rate.

13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat