Let $E_{i}=F(X_{i}),0\leq i\leq k,k\geq 1$ be locally free rank one ${\cal O}_{Y}$-modules (vector bundles) corresponding to objects $X_{i}=(L_{i},\rho_{i})\in FO(X^{\vee}),0\leq i\leq k$. Then the formulas for

$$m_{k}^{FO(X^{\vee})}:\otimes_{0\leq i\leq k}Hom(E_{i},E_{i+1})\to Hom(E_{0},E_{k})[2-k]$$

coincide (after the extension of scalars from ${{\bf C}}_{\varepsilon}$ to ${{\bf C}}_{\varepsilon}\widehat{\otimes}\Omega^{\ast}_{0}$) with the formulas for

$$m_{k}^{{\cal C}_{unram,0}^{tr,\Pi}(Y)}:\otimes_{0\leq i\leq k}Hom(X_{i},X_{i+1})\to Hom(X_{0},X_{k})[2-k]$$

when the spaces of morphisms are identified via the maps $\nu(X_{i},X_{j})$.