Logarithmic descendent PT/GW correspondence

Let $(X,D)$ be the logarithmic pair, let $\beta$ be a curve class, and set

$$d_\beta=c_1(T_X)\cdot\beta\in\mathbb{Z}.$$

Let $\alpha=(\alpha_1,\ldots,\alpha_k)$ be a partition, let $\zeta_1,\ldots,\zeta_k$ be cohomology classes, and let $\overline{\tau_{\alpha_1-1}(\zeta_1)\cdots\tau_{\alpha_k-1}(\zeta_k)}$ denote the corrected descendent insertion defined in the source. Let $\bm{\mu}(\delta)$ be relative conditions. Under the identification $-q=e^{iu}$, descendent PT/GW correspondence. One has

$$(-q)^{-d_\beta/2}\mathsf{Z}_{\mathsf{PT}}\left(X,D;q\mid\tau_{\alpha_1-1}(\zeta_1)\cdots\tau_{\alpha_k-1}(\zeta_k)\mid\bm{\mu}(\delta)\right)_\beta$$ $$=(-iu)^{d_\beta+\sum\ell(\mu_j)-|\mu_j|}\mathsf{Z}_{\mathsf{GW}}\left(X,D;u\mid\overline{\tau_{\alpha_1-1}(\zeta_1)\cdots\tau_{\alpha_k-1}(\zeta_k)}\mid\bm{\mu}(\delta)\right)_\beta.$$

This is the full descendent form of the curve/sheaf correspondence for PT theory, extending the primary correspondence through corrected descendents. The supplied text gives no resolution status.