Relative cyclic open-closed map conjecture

Let $X$ be a symplectic manifold and let $L\subset X$ be a null-homologous Lagrangian. Let $HC^-_*(Fuk(X),L)$ denote the relative cyclic homology associated to the object $L$, and let $QH_*(X,L;\Lambda)[[u]]$ denote relative quantum homology. Relative cyclic open-closed map conjecture. There exists a relative cyclic open-closed map

$$\mathcal{OC}^-_L: HC^-_*(Fuk(X),L) \longrightarrow QH_*(X,L;\Lambda)[[u]]$$

which is an isomorphism of TE-structures and fits into the commutative diagram specified in the source. This conjecture would identify the categorical relative cyclic theory with relative quantum homology and thereby relate the Fukaya category to open Gromov–Witten invariants; the source does not establish the claimed isomorphism.