9 problems

Open Gromov–Witten comparison conjecture. There is a homomorphism

Let $(Y,D)$ be the del Pezzo surface with anticanonical divisor considered in the paper, and let $\tilde{\Omega}(\gamma;l)$ denote the limiting open Gromov–Witten invariant associa…

Let $X$ satisfy the generic condition assumed in the construction. For a primitive relative class $\gamma$, let $l_{\gamma}$ be an affine line labeled by $\gamma$, let…

Let $\gamma$ be a primitive charge. Suppose that $u$ crosses a wall consisting of relative classes $\gamma_i$, for $i=1,\ldots,n$. For each $i$, let…

Seidel-element and Jacobian-generator conjecture. The isomorphism

Let $X$ be a semi-Fano toric manifold, and let $m$ denote the number of its toric divisors. For $i=1,\ldots,m$, let $\delta_i(q)$ be the generating-function correction determined b…

Let $X$ be a toric manifold with $-K_X$ numerically effective. Let $W^{\textrm{PF}}$ and $W^{\textrm{LF}}$ be the Picard–Fuchs and Lagrangian Floer superpotentials in the mirror, r…

Let $X$ be a toric Calabi–Yau manifold with mirror family $\check{X}_y$, and let … be the SYZ map, defined by … where $1+\delta_i(q)$ are generating functions of the genus $0$ open…

Let $X$ be an almost Calabi–Yau 3-fold and let $L\cong \mathbb{R}P^3\subset X$ be an embedded Lagrangian. For odd classes $\beta\in\Pi_2(X,L)$, the open Gromov–Witten invariants…