A relative version of the ordinary perturbation lemma

Abstract

The perturbation lemma and the homotopy transfer for L-infinity algebras is proved in a elementary way by using a relative version of the ordinary perturbation lemma for chain complexes and the coalgebra perturbation lemma.

References in corpus (2)

• On the construction of A-infinity structures
• On the homology theory of fibre spaces

Cited by in corpus (2)

• L-infinity Formality check for the Hochschild Complex of Certain Universal Enveloping Algebras
• Formality of $A_{\infty }$-Algebras