Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A stability conjecture for the colored Jones polynomial   We formulate a stability conjecture for the coefficients of the colored Jones
polynomial of a knot, colored by irreducible representations in a fixed ray of
a simple Lie algebra, and verify it for all torus knots and all simple Lie
algebras of rank $2$. Our conjecture is motivated by a structure theorem for
the degree and the coefficients of a $q$-holonomic sequence of polynomials
given in [Ga2] and by a stability theorem of the colored Jones polynomial of an
alternating knot given in \cite{GL2}. We illustrate our results with sample
computations.

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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
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The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics