Identification of generalized mirror-transformation polynomials with virtual invariants

Let $\sigma_m=d_1+\cdots+d_{l(\sigma_m)}$ be a partition, let $V_{d-m}^{N,k,d}(n;\sigma_m)$ be the normalized virtual Gromov–Witten invariant defined in the paper, and let $G_{d-m}^{N,k,d}(n;\sigma_m)$ be the polynomial appearing in the generalized mirror transformation. Identification conjecture. If $l(\sigma_m)\leq 1$ or $d-m=1$, then $G_{d-m}^{N,k,d}(n;\sigma_m)$ is given by $V_{d-m}^{N,k,d}(n;\sigma_m)$. The supplied text gives no resolution of this conjecture.