The quasimap–stable-map quantum K-theory conjecture for partial flags

Let $Fl$ be a partial flag variety. Denote by $QK(Fl)$ its stable-map quantum $K$-ring and by $QK^{QM}(Fl)$ its quasimap quantum $K$-ring. The quasimap–stable-map conjecture. In the compact limit, these rings should be isomorphic:

$$QK(Fl)\cong QK^{QM}(Fl).$$

The source says that this prediction was verified for the full flag $SL(N)/B$, where it was used to prove the Wronskian presentation conjecture in that case; the general partial-flag statement remains open in the source context.