Maximal-tangency correspondence conjecture for del Pezzo surfaces

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 associated with a relative class $\gamma$ and an admissible ray $l$. Maximal-tangency correspondence conjecture. The symplectic count of holomorphic curves with maximal tangency is the sum of limits of certain open Gromov–Witten invariants. This conjecture predicts a cobordism-based correspondence between holomorphic discs and holomorphic curves with maximal tangency; the supplied text gives no resolution status.