Lift of $C\_\infty$ and $L\_\infty$ morphisms to $G\_\infty$ morphisms

Grégory Ginot, Gilles Halbout

Let $\g\_2$ be the Hochschild complex of cochains on $C^\infty(\RM^n)$ and $\g\_1$ be the space of multivector fields on $\RM^n$. In this paper we prove that given any $G\_\infty$-…