Givental-space formulation of the Crepant Resolution Conjecture

Let $\mathcal{X}$ be a toric Gorenstein orbifold and $Y$ a crepant resolution, with Givental spaces

$$\mathcal{H}_\mathcal{Z}=H(\mathcal{Z})\otimes\mathcal{O}(\mathbb{C}^*)$$

for $\mathcal{Z}=\mathcal{X},Y$, equipped with the symplectic form $\Omega_\mathcal{Z}(f,g)=\operatorname*{Res}_{z=0}\eta(f(-z),g(z))_\mathcal{Z}$ and Lagrangian cones $\mathcal{L}_\mathcal{X},\mathcal{L}_Y$ determined by genus-zero Gromov--Witten theory. Givental-space formulation of the Crepant Resolution Conjecture. There exists a $\mathbb{C}((z^{-1}))$-linear symplectic isomorphism

$$\mathbb{U}_\rho^{\mathcal{X},Y}:\mathcal{H}_\mathcal{X}\longrightarrow\mathcal{H}_Y$$

that matches the cones after suitable analytic continuation of the small quantum-cohomology parameters:

$$\mathbb{U}_\rho^{\mathcal{X},Y}(\mathcal{L}_\mathcal{X})=\mathcal{L}_Y.$$

This is the cone-level formulation of the closed crepant resolution conjecture, attributed in the source to Coates--Corti--Iritani--Tseng and Coates--Ruan; the source gives no general resolution status.