Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On cycles and coverings associated to a knot   We consider the space of all representations of the commutator subgroup of a
knot group into a finite abelian group {\Sigma}, together with a shift map
{\sigma}_x. This is a finite dynamical system, introduced by D.Silver and S.
Williams. We describe the lengths of its cycles in terms of the roots of the
Alexander polynomial of the knot. This generalizes our previous result for
{\Sigma}= Z/p, p is prime, and gives a complete classification of depth 2
solvable coverings of the knot complement.

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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
0
The categories of this paper are: hep-ph