The Landau–Ginzburg/Calabi–Yau correspondence for $(Q,G)$

Let $(Q,G)$ be an LG pair, let $\mathcal{Z}=\{Q=0\}\subset\mathbb{P}(G)$ be the associated Calabi–Yau variety, and let $\mathscr{L}^{(Q,G)}\subset\mathscr{V}^{(Q,G)}$ and $\mathscr{L}^{\mathcal{Z}}\subset\mathscr{V}^{\mathcal{Z}}$ be the genus-zero FJRW and Gromov–Witten Lagrangian cones, respectively. The Landau–Ginzburg/Calabi–Yau correspondence. There exists a symplectic transformation

$$\mathbb{V}:\mathscr{V}^{(Q,G)}\to\mathscr{V}^{\mathcal{Z}}$$

which identifies $\mathscr{L}^{(Q,G)}$ with the analytic continuation of $\mathscr{L}^{\mathcal{Z}}$. This is the genus-zero form of the LG/CY correspondence; the source states it as a conjectural analogue of the crepant transformation conjecture and gives no resolution in the quoted passage.