On the homotopy transfer of $A_\infty $ structures

Jakub Kopřiva

Address: Charles University, Faculty of Mathematics and Physics, Sokolovská 83, 180 00 Praha, Czech Republic

E-mail: jakub.kopriva@outlook.com

Abstract: The present article is devoted to the study of transfers for $A_\infty $ structures, their maps and homotopies, as developed in [7]. In particular, we supply the proofs of claims formulated therein and provide their extension by comparing them with the former approach based on the homological perturbation lemma.

AMSclassification: primary 18D10; secondary 55S99.

Keywords: A_\infty structures, transfer, homological perturbation lemma.

DOI: 10.5817/AM2017-5-267