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Sbornik: Mathematics, 2002, Volume 193, Issue 10, Pages 1557–1571
DOI: https://doi.org/10.1070/SM2002v193n10ABEH000689 (Mi sm689) 		 
Commutative $A_\infty$-algebras and the functor $\mathscr D$

S. A. Yakshin

Moscow State Pedagogical University
English version PDF (193 kB) Russian version article
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DOI: https://doi.org/10.1070/SM2002v193n10ABEH000689
Abstract: 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.
Received: 22.05.2001
Bibliographic databases:
MSC: Primary 18G35; Secondary 55P40, 55P43, 55T05, 55U15
Language: English
Original paper language: Russian
Citation: S. A. Yakshin, “Commutative $A_\infty$-algebras and the functor $\mathscr D$”, Sb. Math., 193:10 (2002), 1557–1571
Citation in format AMSBIB
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\by S.~A.~Yakshin
\paper Commutative $A_\infty$-algebras and the functor~$\mathscr D$
\jour Sb. Math.
\yr 2002
\vol 193
\issue 10
\pages 1557--1571
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    References:43
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