Geodesic
Commutative $A_\infty$-algebras and the functor $\mathscr D$
Sbornik. Mathematics, Tome 193 (2002) no. 10, pp. 1557-1571 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the question of calculating the set of equivalence classes of commutative $A_\infty$-algebras and the connection between this question and calculating the functor $\mathscr D$ introduced by Berikashvili. In particular, we show that there are no non-trivial commutative $A_\infty$-structures on a free commutative algebra. 
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     title = {Commutative $A_\infty$-algebras and the functor~$\mathscr D$},
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S. A. Yakshin. Commutative $A_\infty$-algebras and the functor $\mathscr D$. Sbornik. Mathematics, Tome 193 (2002) no. 10, pp. 1557-1571. http://geodesic.mathdoc.fr/item/SM_2002_193_10_a7/

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