2 problems

Let $X$ be a smooth projective Calabi–Yau threefold, let $\beta\in N_1(X)$, and let $\mathcal{M}_X(\beta)$ be the moduli stack of one-dimensional sheaves with class $\beta$. Let…

Let $X$ be a Calabi–Yau threefold, let $\beta>0$, and let $\operatorname{Sh}_{\beta}(X)$ be the moduli space used to define the Gopakumar–Vafa invariants, equipped with its $d$-cri…