3 problems

DT/PT $\mathbb{Z}_{n}$-orbifold vertex correspondence. If $\nu$ is multi-regular, then

Let $X$ be a simply-connected smooth projective 3-fold, let $\gamma\in H^{p,0}(X)$ with $p=2$ or $p=3$, and let $D\in\mathbb D_{\textup{PT}}^{X}$. For $k\geq 0$, the stable-pairs d…

Let $X$ be a simply-connected smooth projective 3-fold. Let $\mathbb D_{\textup{PT}}^{X}$ be the algebra generated by stable-pairs descendents $\textup{ch}_i(\gamma)$, and let…