Maulik–Nekrasov–Okounkov–Pandharipande relative GW/DT correspondence

Let $X$ be a smooth projective threefold with a smooth divisor $D$, let $\beta\in H_2(X,\mathbb{Z})$, and let $\eta$ be a relative partition. Write $\widetilde{\mathsf{Z}}^\mathrm{GW}_{X/D}$ and $\widetilde{\mathsf{Z}}^\mathrm{DT}_{X/D}$ for the reduced relative Gromov–Witten and Donaldson–Thomas partition functions, and set $d:=\int_\beta c_1(X)$. Maulik–Nekrasov–Okounkov–Pandharipande relative correspondence. Under the change of variables $\exp(\mathrm{i}u)=-q$, one has

$$(-\mathrm{i}u)^{d+\ell(\eta)-\lvert\eta\rvert}\widetilde{\mathsf{Z}}^\mathrm{GW}_{X/D}\left(u,\prod_{i=1}^n\tau_0(\gamma_i)\right)_{\beta,\eta}=(-q)^{-d/2}\widetilde{\mathsf{Z}}^\mathrm{DT}_{X/D}\left(q,\prod_{i=1}^n\tilde\tau_0(\gamma_i)\right)_{\beta,\eta}.$$

This is the relative primary-field GW/DT correspondence; the source does not provide evidence resolving it in the stated generality.