NDLI: 2-track algebras and the Adams spectral sequence

Content Provider	Springer Nature Link
Author	Baues, Hans Joachim Frankland, Martin
Copyright Year	2016
Abstract	In previous work of the first author and Jibladze, the $$E_3$$ -term of the Adams spectral sequence was described as a secondary derived functor, defined via secondary chain complexes in a groupoid-enriched category. This led to computations of the $$E_3$$ -term using the algebra of secondary cohomology operations. In work with Blanc, an analogous description was provided for all higher terms $$E_r$$ . In this paper, we introduce 2-track algebras and tertiary chain complexes, and we show that the $$E_4$$ -term of the Adams spectral sequence is a tertiary Ext group in this sense. This extends the work with Jibladze, while specializing the work with Blanc in a way that should be more amenable to computations.
Starting Page	679
Ending Page	713
Page Count	35
File Format	PDF
ISSN	21938407
Journal	Journal of Homotopy and Related Structures
Volume Number	11
Issue Number	4
e-ISSN	15122891
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-11-24
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Tertiary Algebraic Topology Toda bracket Adams spectral sequence 2-track groupoid Adams spectral sequences Algebra Functional Analysis Nonabelian homological algebra and higher cohomology operations Number Theory Bigroupoid Double groupoid
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Geometry and Topology

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2-track algebras and the Adams spectral sequence