The generalized volume conjecture relates asymptotic behavior of the colored Jones polynomials to objects naturally defined on an algebraic curve, the zero locus of the A-polynomial A(x, y). Another "family version" of the volume conjecture depends on a quantization parameter, usually denoted q or ; this quantum volume conjecture (also known as the AJ-conjecture) can be stated in a form of a q-difference equation
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A 2012 study studied this question.
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