Local-to-global spectral sequences for the cohomology of diagrams

David Blanc, Mark Johnson, James M. Turner

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We construct local-to-global spectral sequences for the cohomology of a diagram, which compute the cohomology of the full diagram in terms of smaller pieces. These are motivated by the obstruction theory of D. Blanc et al. [D. Blanc, M.W. Johnson, J.M. Turner, On realizing diagrams of Π-algebras, Algebraic Geom. Topol. 6 (2006) 763-807] for realizing a diagram of Π-algebras, but are valid in quite general algebraic settings.

Original languageEnglish (US)
Pages (from-to)34-53
Number of pages20
JournalJournal of Pure and Applied Algebra
Volume213
Issue number1
DOIs
StatePublished - Jan 1 2009

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Spectral Sequence
Cohomology
Diagram
Obstruction Theory
Algebra
Valid

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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Local-to-global spectral sequences for the cohomology of diagrams. / Blanc, David; Johnson, Mark; Turner, James M.

In: Journal of Pure and Applied Algebra, Vol. 213, No. 1, 01.01.2009, p. 34-53.

Research output: Contribution to journalArticle

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