D{sub {infinity}}-differential E{sub {infinity}}-algebras and spectral sequences of fibrations

Journal Article · Wed Oct 31 00:00:00 EDT 2007 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2007V198N10ABEH003888; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)· OSTI ID:21267096

Lapin, Sergei V ^[1]

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1. N.P. Ogarev Mordovian State University, Saransk (Russian Federation)

The notion of an E{sub {infinity}}-algebra with a filtration is introduced. The connections are established between E{sub {infinity}}-algebras with filtrations and the theory of D{sub {infinity}}-differential E{sub {infinity}}-algebras over fields. Based on the technique of D{sub {infinity}}-differential E{sub {infinity}}-algebras, the apparatus of spectral sequences is developed for E{sub {infinity}}-algebras with filtrations, and applications of this apparatus to the multiplicative cohomology spectral sequences of fibrations are given. Bibliography: 21 titles.

• OSTI ID: 21267096
• Journal Information: Sbornik. Mathematics, Vol. 198, Issue 10; Other Information: DOI: 10.1070/SM2007v198n10ABEH003888; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
FILTRATION
MATHEMATICAL LOGIC