5 problems

Let $X$ be a smooth pair with boundary divisor $D$, let $r$ be a positive integer, and let $\Lambda$ denote the discrete data of the twisted maps. Write…

The DT–PT virtual structure sheaf localization conjecture. There exists a canonical halving $\mathbb{E}_{1/2}$, given explicitly in the source's Definition, such that

Let $X$ be a holomorphic symplectic 4-fold and let $\beta\in H_2(X,\mathbb{Z})$ be an irreducible curve class. Let $P_n(X,\beta)$ be the moduli space of stable pairs and…

Let $\boldsymbol{Y}$ be an oriented $-2$-shifted symplectic derived scheme, set $Y=t_0(\boldsymbol{Y})$, and suppose the dimensional reduction conjecture holds. Let…

Broad vanishing conjecture. For every $i\in\{1,\ldots,n\}$,