7 problems

Let $X$ be a local Calabi--Yau threefold in an integral frame, and let $\underline{r}$ be an integer-valued vector satisfying the leading vanishing blowup equation … Among such vec…

Let $X$ be a non-compact Calabi–Yau threefold, let $B$ be a magnetic flux satisfying the flux quantization condition … and let $Z(\epsilon_1,\epsilon_2,t_i)$ be the refined topolog…

Consider the blowup equations for a local Calabi–Yau threefold, and take as input data only the classical intersection numbers of the Calabi–Yau geometry. Classical-intersection-da…

Consider a five-dimensional $\mathcal{N}=1$ gauge theory with gauge group $G$ and matter representations whose blowup recursion formula determines the $n$-instanton correction…

Let $d$ be the integer appearing in the five-dimensional $\mathcal{N}=1$ gauge-theory blowup equation … The bound on $d$ obtained as a necessary condition for this equation is conj…

Let $X$ be a non-compact Calabi–Yau threefold. A r field is a $b$-dimensional vector $\mathbf r=(r_i)$ with entries in $\mathbb Z$ satisfying … For an $r$ field, let $\mathbf C$ be…

Let $X$ be a local Calabi–Yau manifold with a $\mathbb C^*$ isometry, let $g_X$ be the relevant integer, let $\mathbf C$ be the matrix appearing in the blowup equation, and let…