Geodesic
On the classification of Moore algebras and their deformations
Homology, homotopy, and applications, Tome 6 (2004) no. 1, pp. 87-107.

Voir la notice de l'article provenant de la source International Press of Boston

In this paper we will study deformations of $A_{\infty}$-algebras. We will also answer questions relating to Moore algebras which are one of the simplest nontrivial examples of an $A_{\infty}$-algebra. We will compute the truncated Hochschild cohomology of odd Moore algebras and classify them up to a unital weak equivalence. We will construct miniversal deformations of particular Moore algebras and relate them to the universal odd and even Moore algebras. Finally we will conclude with an investigation of formal one-parameter deformations of an $A_{\infty}$-algebra.
DOI : 10.4310/HHA.2004.v6.n1.a7
Classification : 13D10, 13F25, 13N15, 14J10, 16E45
Keywords: $A_{\infty}$-algebra, Moore algebra, Hochschild cohomology, deformation, power series 
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Alastair Hamilton. On the classification of Moore algebras and their deformations. Homology, homotopy, and applications, Tome 6 (2004) no. 1, pp. 87-107. doi : 10.4310/HHA.2004.v6.n1.a7. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2004.v6.n1.a7/

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