$A_{\infty }$-Algebras from Lie Pairs

Mathieu Stiénon, Luca Vitagliano, Ping Xu

Given an inclusion $A\hookrightarrow L$ of Lie algebroids sharing the same base manifold $M$, i.e. a Lie pair, we prove that the space $Γ(Λ^\bullet A^\vee)\otimes_{R} \frac{U(L)}{U…