Bryan–Cadman–Young's Donaldson–Thomas crepant resolution conjecture

Let $\mathcal{Z}$ be a hard-Lefschetz $3$-orbifold, and let

$$\pi:W\rightarrow\mathcal{Z}$$

be a crepant resolution. Let $DT_{mr}(-)$ denote the reduced, multi-regular Donaldson–Thomas potential, and let $DT_{exc}(W)$ be the restriction of the Donaldson–Thomas potential of $W$ to curves supported on the exceptional locus of $\pi$. Bryan–Cadman–Young's Donaldson–Thomas crepant resolution conjecture. There is an explicit change of variables such that

$$DT_{mr}(\mathcal{Z})=\frac{DT(W)}{DT_{exc}(W)}.$$

This is the Donaldson–Thomas analogue of the crepant resolution conjecture for Gromov–Witten invariants under the hard-Lefschetz condition. The paper proves the conjecture for toric Calabi–Yau $3$-orbifolds with transverse $A$-singularities, while the formulation itself is broader.