This article is cited in 5 papers

$D_\infty$-differential $E_\infty$-algebras and multiplicative spectral sequences

S. V. Lapin

Mordovian State University

Abstract: The concept of $D_\infty$-differential $E_\infty$-algebra is introduced, which is a homotopy-invariant deformation analogue of the concept of $E_\infty$-algebra. The main homotopy properties of $D_\infty$-differential $E_\infty$-algebras are studied and relations between $D_\infty$-differential $E_\infty$-algebras and multiplicative spectral sequences over fields are established.

UDC: 513.83

MSC: 55U35, 55P43, 55P99

Received: 29.06.2004

DOI: 10.4213/sm1393

 English version: Sbornik: Mathematics, 2005, 196:11, 1627–1658

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