TY - JOUR
T1 - Local-to-global spectral sequences for the cohomology of diagrams
AU - Blanc, David
AU - Johnson, Mark W.
AU - Turner, James M.
N1 - Funding Information:
We would like to thank the referee for his or her comments. This research was supported by BSF grant 2006039; the third author was also supported by NSF grant DMS-0206647 and a Calvin Research Fellowship (SDG).
PY - 2009/1
Y1 - 2009/1
N2 - 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.
AB - 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.
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U2 - 10.1016/j.jpaa.2008.05.011
DO - 10.1016/j.jpaa.2008.05.011
M3 - Article
AN - SCOPUS:53549116734
SN - 0022-4049
VL - 213
SP - 34
EP - 53
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 1
ER -