Ezra Getzler

Higher holonomy for curved L∞-algebras 1: simplicial methods

We construct a natural morphism ρ from the nerve MC∙⁡(L)=MC⁡(Ω∙⊗^L) of a pronilpotent curved L∞-algebra L to the simplicial subset γ∙(L)=MC⁡(Ω∙⊗^L,s∙) of Maurer-Cartan element satisfying the Dupont gauge condition. This morphism equals the identity on the image of the inclusion γ...