Abstract

Dg manifolds are a useful geometric notion which unifies many important structures such ashomotopy Lie algebras, foliations and complex manifolds. In this talk, we describe a Duflo.Kontsevich type theorem for dg manifolds. The Duflo theorem of Lie theory and the Kontsevichtheorem regarding the Hoschschild cohomology of complex manifolds can both be derived asspecial cases of this Duflo--Kontsevich type theorem for dg manifolds. This is a joint work withHsuan-Yi Liao and Mathieu Stienon.