D ∞-differential e ∞-algebras and spectral sequences of D ∞-differential modules

被引：0

作者：

Lapin S.V. ^{[1
]}

机构：

[1] Ogarev Mordovia State University, Saransk

来源：

Journal of Mathematical Sciences | 2009年 / 159卷 / 6期

关键词：

Symmetric Group; Spectral Sequence; Chain Complex; Homological Algebra; Homology Module;

D O I：

10.1007/s10958-009-9474-3

中图分类号：

学科分类号：

摘要：

In the present paper, we introduce the concept of a filtered E ∞-algebra, construct spectral sequences for such algebras, and apply them to multiplicative cohomological spectral sequences of bundles. The existence of the structure of D ∞-differential A ∞-algebras in cohomological spectral sequences of bundles over fields is proved and the initial multiplicative component of this structure at the second term of the spectral sequence is calculated. © 2009 Springer Science+Business Media, Inc.

引用

页码：819 / 832

页数：13

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