Hu–Li diagonalization conjecture for reduced Gromov–Witten invariants of Calabi–Yau threefolds

Let $X$ be a Calabi–Yau threefold, let $\beta$ be a curve class with degree ${\rm \deg}(\beta)>2g-2$, and let $N_\beta^g$ and $r_\beta^h$ denote the genus-$g$ standard and genus-$h$ reduced Gromov–Witten invariants, respectively. Hu–Li diagonalization conjecture. There are universal constants $C_h(g)\in\mathbb{Q}$ such that

$$N_\beta^g=\sum_{0\leq h\leq g} C_h(g)r_\beta^h.$$

This predicts that, in the stated degree range, standard invariants are universal linear combinations of reduced invariants of no greater genus. The formula is known in genus one and two, but the general-genus case remains open.