Higher holonomy for curved L${}_{\infty }$-algebras 1: simplicial methods

Ezra Getzler

We construct a natural morphism $\rho$ from the nerve ${\text{MC}}_{\bullet }(L)=\text{MC}({\Omega }_{\bullet }\hat{\otimes }L)$ of a pronilpotent curved L${}_{\infty }$-algebra $L$ to the simpli…