@article{Chen2022, 
author = {Youming Chen and Weiguo Lyu and Song Yang},
title = {A note on the differential calculus of Hochschild theory for  A∞-algebras},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {9},
pages = {3211-3237},
keywords = {differential calculus, A∞-algebra, cyclic A∞-algebra, Hochschild (co)homology, Batalin-Vilkovisky algebra},
url = {https://www.sciopen.com/article/10.3934/era.2022163},
doi = {10.3934/era.2022163},
abstract = {We show by constructing explicit homotopy operators that the Hochschild (co)homology of an  A∞-algebra of Stasheff admits a differential calculus structure. As an application, we reproduce a result of Tradler which says that the Hochschild cohomology of a cyclic  A∞-algebra admits a Batalin-Vilkovisky algebra structure.}
}