2014
DOI: 10.1017/is014004016jkt264
|View full text |Cite
|
Sign up to set email alerts
|

A spectral sequence for the homology of a finite algebraic delooping

Abstract: In the world of chain complexes En-algebras are the analogues of based n-fold loop spaces in the category of topological spaces. Fresse showed that operadic En-homology of an En-algebra computes the homology of an n-fold algebraic delooping. The aim of this paper is to construct two spectral sequences for calculating these homology groups and to treat some concrete classes of examples such as Hochschild cochains, graded polynomial algebras and chains on iterated loop spaces. In characteristic zero we gain an i… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1

Citation Types

0
2
0

Year Published

2017
2017
2020
2020

Publication Types

Select...
2
1

Relationship

0
3

Authors

Journals

citations
Cited by 3 publications
(2 citation statements)
references
References 18 publications
0
2
0
Order By: Relevance
“…The group-completion theorem allows us to relate the homology of a delooping to certain nonabelian derived functors [69]. Similar spectral sequences computing E n -homology of chain complexes have been studied by Richter and Ziegenhagen [79].…”
Section: Iterated Loop Spacesmentioning
confidence: 89%
“…The group-completion theorem allows us to relate the homology of a delooping to certain nonabelian derived functors [69]. Similar spectral sequences computing E n -homology of chain complexes have been studied by Richter and Ziegenhagen [79].…”
Section: Iterated Loop Spacesmentioning
confidence: 89%
“…We will not develop those formulae, as we have-as yet-no need for them. We will not make use of this spectral sequence, but it has been studied in some detail by Richter-Ziegenhagen [RZ14], especially in even characteristic.…”
Section: On the Other Hand Ementioning
confidence: 99%