Open mirror-map formula for disk Gromov–Witten invariants of projective hypersurfaces

Let $M_k^k$ be the degree-$k$ projective hypersurface, let $\tau_k(x)$ and $F_o^k(x)$ be the functions introduced above, and define the mirror map

$$t(x):=x+\sum_{d=1}^{\infty}\frac{\tilde{L}_{1}^{k,k,d}}{d}e^{dx}.$$

Write $x(t)$ for its inverse and let $\langle{\cal O}_{h^{\frac{k-3}{2}}}\rangle_{disk,2d-1}$ denote the corresponding open Gromov–Witten invariant. Open mirror-map formula. The function $F_o^k$ gives the generating function of these invariants:

$$F_o^k(x(t))=\sum_{d=1}^{\infty}\langle{\cal O}_{h^{\frac{k-3}{2}}}\rangle_{disk,2d-1}e^{\frac{2d-1}{2}t}.$$

This identifies the B-model expression with the A-model disk invariants through the mirror transformation; the parser supplies no evidence that the proposed formula has been resolved.