The quantum A-polynomial conjecture for the knot series

Let $K\subset S^3$ be a knot, let $f_K(x,q)$ be its rescaled knot series, let $\widehat A$ be the quantum polynomial of $K$, and let $\Delta_K(x)$ be its Alexander polynomial. Define the symmetric expansion $\operatorname{s.e.}$ of a rational function in $x$ as the average of its Laurent expansion at $x\to0$ and its Laurent expansion in $x^{-1}$ at $x\to\infty$. Quantum A-polynomial conjecture. The quantum polynomial annihilates the knot series,

$$\widehat A f_K(x,q)=0,$$

and its classical limit is the symmetric expansion of the reciprocal Alexander polynomial,

$$\lim_{q\to1}f_K(x,q)=\operatorname{s.e.}\frac{1}{\Delta_K(x)}.$$

This conjecture links the quantum polynomial recursion to the Alexander polynomial and is presented as a refinement motivated by the AJ conjecture; the source supplies no resolution status.