6 problems

Let $X$ be a Fano manifold. Denote by $c_1(X)\star_0$ quantum multiplication by the first Chern class at the origin, and suppose that it has a simple rightmost eigenvalue. Let…

Let $X$ be a Fano variety of complex dimension $D$ with odd-vanishing cohomology, and let $F_0(\textbf{v})$ be a power series with convergence domain $\Omega$. Let…

Let $X$ be a monotone symplectic manifold. For Chern roots $x_j$ of $TX$, let $u$ be the equivariant parameter, let $J_X^d=ev^d_*\left(\frac{1}{1-u\psi}\right)$, and let…

Let $Y$ be a del Pezzo surface, let $(\mathcal X,W)$ be its Landau–Ginzburg mirror, let $\alpha:K(Y)\to H_2(\mathcal X,W^{-1}(+\infty);\mathbb Z)$ be the map from the preceding cen…

Let $X$ be a smooth projective variety, let $\tau\in H^*(X)$ be a point where the quantum connection is of exponential type, and let $\mathsf{C}$ index the exponential factors. Let…

Let $X$ be a Fano manifold and let $\mathcal{A}$ be the vector space of flat sections $s(z)$ over the positive real axis such that $e^{T/z}s(z)$ has at most polynomial growth as…