Higher-genus quasimap wall-crossing conjecture for Fano index at least two

Let $(W,{\bf G},\theta)$ be a Fano triple of Fano index at least $2$, and let $\langle\sigma_1\psi_1^{a_1},\ldots,\sigma_k\psi_k^{a_k}\rangle^\varepsilon_{g,k,\beta}$ denote its descendant quasimap invariants at stability parameter $\varepsilon$. Higher-genus Fano wall-crossing conjecture. The descendant quasimap invariants

$$\langle\sigma_1\psi_1^{a_1},\ldots,\sigma_k\psi_k^{a_k}\rangle^\varepsilon_{g,k,\beta}$$

are independent of $\varepsilon$. This is a proposed higher-genus extension of the genus-zero wall-crossing theory. The paper states it as a direction for future work, so no general resolution is supplied.