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Local-to-global spectral sequences for the cohomology of diagrams |
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| Authors: | David Blanc Mark W. Johnson |
| Affiliation: | a Department of Mathematics, University of Haifa, 31905 Haifa, Israel b Department of Mathematics, Penn State Altoona, Altoona, PA 16601, USA c Department of Mathematics, Calvin College, Grand Rapids, MI 49546, USA |
| 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. |
| Keywords: | Primary, 55N99 secondary, 18G55, 18G40, 18G55 |
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