On the Duflo formula for $L_\infty$-algebras and Q-manifolds

摘要: We prove a direct analogue of the classical Duflo formula in case $L_\infty$-algebras. conjecture an analogous arbitrary Q-manifold. When $G$ is compact connected Lie group, theorem for Q-manifold $(\Pi TG,d_{DR})$ exactly algebra $g = G$. The corresponding TM,d_{DR})$, where $M$ smooth manifold, generalization manifolds. On other hand, \bar T_{hol} M, \bar\partial)$, complex M. Kontsevich's ``theorem on manifold'' [K1], Sect. 8.4.