Zaslow's crepant-resolution conjecture for stringy Hodge numbers

Let $X$ be a smooth Calabi–Yau manifold with an action of a finite group $H$ preserving the holomorphic volume form, let $Y=X/H$, and let $h_{st}^{p,q}(Y)$ denote its stringy Hodge numbers. A resolution $Z\to X/H$ is crepant when its canonical divisor is the pullback of the canonical divisor of $X/H$. Zaslow's conjecture. If $Z\to X/H$ is any crepant resolution of $X/H$, then

$$h^{p,q}(Z)=h_{st}^{p,q}(X/H).$$

This conjecture predicts that the stringy Hodge numbers of a quotient agree with the ordinary Hodge numbers of every crepant resolution, generalizing the corresponding equality for stringy and ordinary Euler characteristics. The supplied text gives no resolution status.