3 problems

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…

MNOP conjecture. The stable-pairs generating function $\mathsf Z^P_\beta(q)$ is a rational function invariant under $q\leftrightarrow q^{-1}$, and under the substitution…

Monomiality conjecture. For each $a\geq b\geq 1$, there is a constant $K_{ab}\in\mathbb Q[i]$ such that