On the homotopy transfer of $A_\infty$ structures
Archivum mathematicum, Tome 53 (2017) no. 5, pp. 267-312
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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.
DOI :
10.5817/AM2017-5-267
Classification :
18D10, 55S99
Keywords: $A_\infty $ structures; transfer; homological perturbation lemma
Keywords: $A_\infty $ structures; transfer; homological perturbation lemma
@article{10_5817_AM2017_5_267,
author = {Kop\v{r}iva, Jakub},
title = {On the homotopy transfer of $A_\infty$ structures},
journal = {Archivum mathematicum},
pages = {267--312},
publisher = {mathdoc},
volume = {53},
number = {5},
year = {2017},
doi = {10.5817/AM2017-5-267},
mrnumber = {3746065},
zbl = {06861558},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2017-5-267/}
}
Kopřiva, Jakub. On the homotopy transfer of $A_\infty$ structures. Archivum mathematicum, Tome 53 (2017) no. 5, pp. 267-312. doi: 10.5817/AM2017-5-267
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