Zhou's two-partition Hodge integral formula

Let $G^\bullet_{\mu^+,\mu^-}(\lambda;\tau)$ be the disconnected generating function of two-partition Hodge integrals for partitions $\mu^+$ and $\mu^-$. Let $R^\bullet_{\mu^+,\mu^-}(\lambda;\tau)$ be the representation-theoretic expression formed from symmetric-group characters and the Hopf-link function $\mathcal{W}_{\mu^+,\mu^-}(q)$, where $q=e^{\sqrt{-1}\lambda}$. Zhou's conjecture.

$$G^\bullet_{\mu^+,\mu^-}(\lambda;\tau)=R^\bullet_{\mu^+,\mu^-}(\lambda;\tau).$$

This extends the one-partition formula to two partitions and relates two-partition Hodge integrals to the HOMFLY polynomial of the Hopf link. The source provides no evidence of resolution in the supplied material.