S. V. Lapin, “$D_\infty$-differential $E_\infty$-algebras and multiplicative spectral sequences”, Sb. Math., 196:11 (2005), 1627

Sbornik: Mathematics

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Sbornik: Mathematics, 2005, Volume 196, Issue 11, Pages 1627–1658
DOI: https://doi.org/10.1070/SM2005v196n11ABEH003724 (Mi sm1393)

This article is cited in 5 scientific papers (total in 5 papers)

D_{\infty}

$D_\infty$ -differential

E_{\infty}

$E_\infty$ -algebras and multiplicative spectral sequences

S. V. Lapin

Mordovian State University

English version PDF (366 kB) Citations (5) Russian version article

References:

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DOI: https://doi.org/10.1070/SM2005v196n11ABEH003724

Abstract: The concept of

D_{\infty}

$D_\infty$ -differential

E_{\infty}

$E_\infty$ -algebra is introduced, which is a homotopy-invariant deformation analogue of the concept of

E_{\infty}

$E_\infty$ -algebra. The main homotopy properties of

D_{\infty}

$D_\infty$ -differential

E_{\infty}

$E_\infty$ -algebras are studied and relations between

D_{\infty}

$D_\infty$ -differential

E_{\infty}

$E_\infty$ -algebras and multiplicative spectral sequences over fields are established.

Received: 29.06.2004

Bibliographic databases:

UDC: 513.83

MSC: 55U35, 55P43, 55P99

Language: English

Original paper language: Russian

Citation: S. V. Lapin, “

D_{\infty}

$D_\infty$ -differential

E_{\infty}

$E_\infty$ -algebras and multiplicative spectral sequences”, Sb. Math., 196:11 (2005), 1627–1658

Citation in format AMSBIB

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\by S.~V.~Lapin

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

\jour Sb. Math.

\yr 2005

\vol 196

\issue 11

\pages 1627--1658

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Linking options:

https://www.mathnet.ru/eng/sm1393

https://doi.org/10.1070/SM2005v196n11ABEH003724

https://www.mathnet.ru/eng/sm/v196/i11/p75

This publication is cited in the following 5 articles:

Lapin V S., “Homotopy Invariance of the Cyclic Homology of a(Infinity)-Algebras Under Homotopy Equivalences of a(Infinity)-Algebras”, Georgian Math. J., 28:6 (2021), 895–916
Lapin V S., “Dihedral Infinity-Simplicial Modules and Dihedral Homology of Involutive Homotopy Unital a(Infinity)-Algebras”, Georgian Math. J., 26:2 (2019), 257–286
Lapin S.V., “Homotopy Properties of Differential Modules With Simplicial F-Infinity-Faces and D-Infinity-Differential Modules”, Georgian Math. J., 22:4 (2015), 543–562
S. V. Lapin, “Multiplicative $A_\infty$ -structure in terms of spectral sequences of fibrations”, J. Math. Sci., 164:1 (2010), 95–118
S. V. Lapin, “ $D_\infty$ -differential $E_\infty$ -algebras and spectral sequences of fibrations”, Sb. Math., 198:10 (2007), 1379–1406

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	1975
Russian version PDF:	261
English version PDF:	21
References:	106
First page:	1

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