Gukov–Stošic conjecture on symmetric and antisymmetric coloured HOMFLY homology

Let $K$ be a knot, and let $H^{\Lambda^r}_{i,j,*}(K)$ and $H^{S^r}_{i,j,*}(K)$ denote, respectively, its antisymmetric- and symmetric-coloured HOMFLY homology groups, with indices $i$, $j$, and $*$. Gukov–Stošic conjecture. There is an isomorphism

$$H^{\Lambda^r}_{i,j,*}(K)\cong H^{S^r}_{i,-j,*}(K).$$

This conjecture predicts a relationship between knot homologies coloured by exterior and symmetric powers. The supplied text describes it as conjectural and gives no evidence of a resolution.