On the construction of A-infinity structures

Abstract

We relate a construction of Kadeishvili's establishing an A-infinity-structure on the homology of a differential graded algebra or more generally of an A-infinity algebra with certain constructions of Chen and Gugenheim. Thereafter we establish the links of these constructions with subsequent developments.

35 pages

References in corpus (3)

• Structure of $A(\infty )$-algebra and Hochschild and Harrison cohomology
• Blackbox computation of $A_{\infty }$-algebras
• On the Differentials of the Spectral Sequence of a Fibre Bundle

Cited by in corpus (7)

• Homological perturbation theory for algebras over operads
• Algebraic models of local period maps and Yukawa algebras
• Multi derivation Maurer-Cartan algebras and sh-Lie-Rinehart algebras
• Solving the noncommutative Batalin-Vilkovisky equation
• A relative version of the ordinary perturbation lemma
• Blackbox computation of $A_{\infty }$-algebras
• A twisted tale of cochains and connections