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We continue the study the Dolbeault dga of the formal neighborhood of anarbitary closed embedding of complex manifolds previously defined by the authorin \cite{DolbeaultDGA}. The special case of the diagonal embedding has beenstudied in \cite{Diagonal}. We describe the Dolbeault dga explicitly in termsof the formal differential geometry of the embedding. Moreover, we show thatthe Dolbeault dga is the completed Chevalley-Eilenberg dga an$L_\infty$-algebroid structure on the shifted normal bundle of the submanifold.This generlizes the result of Kapranov on the diagonal embedding and Atiyahclass.

Dolbeault dga and $L_\infty$-algebroid of the formal neighborhood