English

On the homotopy transfer of $A_\infty$ structures

Algebraic Topology 2019-09-26 v2 Mathematical Physics Category Theory math.MP

Abstract

The present article is devoted to the study of transfers for AA_\infty structures, their maps and homotopies, as developed in \cite{Markl06}. 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.

Keywords

Cite

@article{arxiv.1704.01857,
  title  = {On the homotopy transfer of $A_\infty$ structures},
  author = {Jakub Kopřiva},
  journal= {arXiv preprint arXiv:1704.01857},
  year   = {2019}
}