Geodesic
$D_\infty$-differential $E_\infty$-algebras and spectral sequences of fibrations
Sbornik. Mathematics, Tome 198 (2007) no. 10, pp. 1379-1406

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The notion of an $E_\infty$-algebra with a filtration is introduced. The connections are established between $E_\infty$-algebras with filtrations and the theory of $D_\infty$-differential $E_\infty$-algebras over fields. Based on the technique of $D_\infty$-differential $E_\infty$-algebras, the apparatus of spectral sequences is developed for $E_\infty$-algebras with filtrations, and applications of this apparatus to the multiplicative cohomology spectral sequences of fibrations are given. Bibliography: 21 titles. 
@article{SM_2007_198_10_a0,
     author = {S. V. Lapin},
     title = {$D_\infty$-differential $E_\infty$-algebras and spectral sequences of fibrations},
     journal = {Sbornik. Mathematics},
     pages = {1379--1406},
     publisher = {mathdoc},
     volume = {198},
     number = {10},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2007_198_10_a0/}
}
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S. V. Lapin. $D_\infty$-differential $E_\infty$-algebras and spectral sequences of fibrations. Sbornik. Mathematics, Tome 198 (2007) no. 10, pp. 1379-1406. http://geodesic.mathdoc.fr/item/SM_2007_198_10_a0/