$D_\infty$-differential $A_\infty$-algebras
Sbornik. Mathematics, Tome 193 (2002) no. 1, pp. 119-142
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In the present paper the construction of a $D_\infty$-differential
$A_\infty$-(co)algebra is introduced and basic homotopy properties of this construction are studied. The connection between $D_\infty$-differential $A_\infty$-(co)algebras and
spectral sequences is established, which enables us to construct the structure of
an $A_\infty$ -coalgebra on the Milnor coalgebra directly from the differentials of the Adams spectral sequence.
@article{SM_2002_193_1_a4,
author = {S. V. Lapin},
title = {$D_\infty$-differential $A_\infty$-algebras},
journal = {Sbornik. Mathematics},
pages = {119--142},
publisher = {mathdoc},
volume = {193},
number = {1},
year = {2002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2002_193_1_a4/}
}
S. V. Lapin. $D_\infty$-differential $A_\infty$-algebras. Sbornik. Mathematics, Tome 193 (2002) no. 1, pp. 119-142. http://geodesic.mathdoc.fr/item/SM_2002_193_1_a4/