Ger}}^+_{\infty}$ and define ${{\bf Ger}}^+_{\infty}$-morphism as well as ${{\bf Ger}}^+_{\infty}$ quasi-isomorphisms. In Section \[sect:Ger-plus-alg\] we give an alternative description of ${{\bf Ger}}^+_{\infty}$-algebras and show that the operad ${{\bf Ger}}^+_{\infty}$ is an extension of the operad ${{\mathcal{O C}}}_{\infty}$ governing open-closed homotopy algebras (OCHA). In this section we also discuss homotopies of ${{\bf Ger}}^+_{\infty}$-algebras, prove the transfer theorem, and construct a ${{\bf Ger}}^+_{\infty}$-algebra structure on the pair $({C^{\bullet}}(A,A), A)$. In Section \[sect:via-transfer\] we establish a necessary and sufficient condition for an abstract $L_{\infty}$-morphism from $HH^{{{\bullet}}}(A,A)$ to ${C^{\bullet}}(A,A)$ to be homotopic to the one obtained via Tamarkin’s procedure [@DTT], [@Hinich-pro-Dimu], [@Dima-Proof]. In this section we also show that a formality quasi-isomorphism for Hochschild cochains ${C^{\bullet}}(A,A)$ of the polynomial algebra $A =  {{\mathbb K}}[x^1, \dots, x^d]$ is obtained via transfer of the ${{\bf Ger}}^+_{\infty}$-algebra on $({C^{\bullet}}(A,A), A)$ to the cohomology. In Section \[sect:SC-Ger-plus\] we describe the first sheet of the homology spectral sequence $E^1({{\rm SC}})$ for the Fulton-MacPherson version ${{\rm SC}}$ of Voronov’s Swiss Cheese operad [@Sasha-SC]. In this section we show that ${{\bf Ger}}^+_{\infty}$ is a suboperad of the DG operad $E^1({{\rm SC}})$. In Section \[sect:non-formal\] we prove that the DG operads ${{\bf Ger}}^+_{\infty}$ and $E^1({{\rm SC}})$ are non-formal. Finally, in the concluding 