Qin's u-part Floer cohomology conjecture for lifted Lagrangian branes

Let $T$ be a symplectic torus and let $L,L'$ be Lagrangian branes with lifts $\boldsymbol{L},\boldsymbol{L}'$ in the twisted doubling torus. Let $HF_u^*(\boldsymbol{L},\boldsymbol{L}')$ denote the u-part Floer cohomology. For another Lagrangian brane $L”$ with lift $\boldsymbol{L}”$, consider the usual and u-part Floer products.

Qin's u-part Floer cohomology conjecture. There is an isomorphism

$$HF_u^*(\boldsymbol{L},\boldsymbol{L}')\cong HF^*(L,L'),$$

and the diagram comparing the products

$$HF^*(L',L”)\otimes HF^*(L,L')\longrightarrow HF^*(L,L”)$$

and

$$HF_u^*(\boldsymbol{L}',\boldsymbol{L}”)\otimes HF_u^*(\boldsymbol{L},\boldsymbol{L}')\longrightarrow HF_u^*(\boldsymbol{L},\boldsymbol{L}”)$$

commutes.

This proposal aims to extend the comparison between Floer cohomology on the original torus and the u-part of Floer cohomology on its twisted doubling torus to nontransversal intersections. The source presents it as a conjectural general-case statement and gives no resolution status.