Cokernel polynomial conjecture for quasi-alternating links

Let $\kappa=\kappa_\beta$ be the closure of a braid $\beta\in Br_m$ with writhe $w$, and let $P_{\mathrm{coker}}(t)$ denote the associated cokernel polynomial. Cokernel polynomial conjecture. The polynomial

$$(-1)^{m+w}t^{(m+w)/2}P_{\mathrm{coker}}(t)$$

is an oriented link invariant. For quasi-alternating links, it coincides with the normalised Jones polynomial:

$$V_\kappa(s)=\left.\frac{(-1)^{m+w}t^{(m+w)/2}P_{\mathrm{coker}}(t)}{t^{1/2}+t^{-1/2}}\right|_{s=t^{-1}}.$$

This proposes a refined invariant arising from the localization map; the source does not provide a resolution status.