7 problems

Let $\mathcal{X}$ be an orbifold with projective coarse moduli space $X$, and let $\pi:Y\to X$ be a crepant resolution. Suppose that the big quantum products $\bullet_\tau$ for…

Let $r$ be a positive integer, let $[[200~\mathbb C^4/\mathbb Z_r]$ be the quotient Calabi–Yau $4$-orbifold considered in the source, and let $q_0,\ldots,q_{r-1}$ be variables. Wri…

Let $G=\mathbb{Z}_r<\mathrm{SU}(2)<\mathrm{SU}(4)$ or $G=\mathbb{Z}_2\times\mathbb{Z}_2<\mathrm{SO}(3)<\mathrm{SU}(4)$. Let $X\to\mathbb{C}^4/G$ be the Nakamura $G$-Hilbert crepant…

Crepant resolution conjecture. The transformation $\mathds{T}$ satisfies

Let $\mathcal{X}\rightarrow X\leftarrow Y$ be toric Calabi--Yau threefolds satisfying the closed crepant resolution conjecture, let…

Let $\mathcal{X}$ be a toric Gorenstein orbifold and $Y$ a crepant resolution, with Givental spaces … for $\mathcal{Z}=\mathcal{X},Y$, equipped with the symplectic form…

Let $\mathcal{A}_r$ be the type-$A_r$ surface, let $\operatorname{Hilb}^n(\mathcal{A}_r)$ be its Hilbert scheme of $n$ points, and let $L$ be the map defined in Section 5. Consider…