An explicit construction of the Quillen homotopical category of dg Lie algebras

Boris Shoikhet

Let $\g_1$ and $\g_2$ be two dg Lie algebras, then it is well-known that the $L_{\infty }$ morphisms from $\g_1$ to $\g_2$ are in 1-1 correspondence to the solutions of the Maurer-Car…