Higher-genus Landau–Ginzburg/Saito–Givental mirror symmetry

Let $W$ be a nondegenerate polynomial and set $G=\operatorname{Aut}(W)$. Let $W^{\vee}_0=W^{\vee}$ be the Gepner point, let $\mathcal F^g_{\operatorname{FJRW}}$ be the genus-$g$ FJRW potential, and let $\mathcal F^g_{\operatorname{formal}}$ be the genus-$g$ formal Saito–Givental potential. LG/LG higher-genus mirror symmetry. There is a mirror map matching a neighborhood of

$$\mathcal H^{1,1}_{W,G}$$

with a neighborhood of $W^{\vee}_0$ such that the $\mathcal F^g_{\operatorname{FJRW}}$-function is matched to $\mathcal F^g_{\operatorname{formal}}$. This is the Landau–Ginzburg counterpart of the preceding higher-genus Calabi–Yau conjecture; the source gives no general proof.