Geodesic
$A_\infty$-structures and the~$\mathscr D$ functor
Izvestiya. Mathematics , Tome 64 (2000) no. 5, pp. 1017-1031

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The paper deals with the problem posed by Buchstaber of calculating the set of equivalence classes of $A_\infty$-structures. We establish a connection between this problem and the calculation of Berikashvili's $\mathscr D$ functor. 
@article{IM2_2000_64_5_a5,
     author = {V. A. Smirnov},
     title = {$A_\infty$-structures and the~$\mathscr D$ functor},
     journal = {Izvestiya. Mathematics },
     pages = {1017--1031},
     publisher = {mathdoc},
     volume = {64},
     number = {5},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2000_64_5_a5/}
}
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V. A. Smirnov. $A_\infty$-structures and the~$\mathscr D$ functor. Izvestiya. Mathematics , Tome 64 (2000) no. 5, pp. 1017-1031. http://geodesic.mathdoc.fr/item/IM2_2000_64_5_a5/