Leading-order Gamma conjecture for del Pezzo mirror central charges

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 central-charge conjecture, and let $\Psi(E)$ be the Gamma-modified Chern character of $E\in K(Y)$. Leading-order Gamma conjecture. There exists an $\epsilon>0$ such that, as $t\to0^+$,

$$\int_{\alpha(E)}e^{-W}\Omega=\int_Y t^{-\omega}\cdot\Psi(E)+O(t^\epsilon).$$

This is the leading-order behavior of the preceding conjecture after setting $z=1$; it isolates the Gamma-class contribution without involving Gromov–Witten invariants. Its resolution is not stated in the source.