8 problems

Let $L$ be a $(-2)$-symplectic space, viewed as a $(-1)$-Lagrangian of a point, and assume the Joyce–Safronov conjecture supplies a functor inducing a homomorphism … Here…

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…

Let $Q^{\varepsilon}_{g,k}(Z(s),d)$ be the moduli space of stable quasimaps to the zero locus $Z(s)$, and let $LGQ^{\varepsilon}_{g,k}(E,d)'$ be the corresponding moduli space of L…

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

Let $X$ be a variety with an action of $\Cs$, and let $\Mtwid_{g,I,\beta}([X/\Cs])$ be the moduli stack of degree-$\beta$ maps from genus-$g$ curves with markings $I$ to the quotie…