L-infinity maps and twistings

Abstract

We give a construction of an L-infinity map from any L-infinity algebra into its truncated Chevalley-Eilenberg complex as well as its cyclic and A-infinity analogues. This map fits with the inclusion into the full Chevalley-Eilenberg complex (or its respective analogues) to form a homotopy fiber sequence of L-infinity-algebras. Application to deformation theory and graph homology are given. We employ the machinery of Maurer-Cartan functors in L-infinity and A-infinity algebras and associated twistings which should be of independent interest.

16 pages, to appear in Homology, Homotopy and Applications. This version contains many corrections of technical nature and minor improvements

References in corpus (1)

• Cohomology theories for homotopy algebras and noncommutative geometry

Cited by in corpus (2)

• Models for classifying spaces and derived deformation theory
• Maurer-Cartan moduli and models for function spaces