Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The AJ-Conjecture for Cables of Two Bridge Knots   The $AJ$-conjecture for a knot $K \subset S^3$ relates the $A$-polynomial and
the colored Jones polynomial of $K$. If a two-bridge knot $K$ satisfies the
$AJ$-conjecture, we give sufficient conditions on $K$ for the $(r,2)$-cable
knot $C$ to also satisfy the $AJ$-conjecture. If a reduced alternating diagram
of $K$ has $\eta_+$ positive crossings and $\eta_-$ negative crossings, then
$C$ will satisfy the $AJ$-conjecture when $(r+4\eta_-)(r-4\eta_+)>0$ and the
conditions of the main theorem are satisfied.

1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an