On Local-to-global Spectral Sequences for the Cohomology of Diagrams
نویسندگان
چکیده
The aim of this paper is to construct and examine three candidates for local-to-global spectral sequences for the cohomology of diagrams of algebras with directed indexing. In each case, the E-terms can be viewed as a type of local cohomology relative to a map or an object in the diagram.
منابع مشابه
Local-to-global Spectral Sequences for the Cohomology of Diagrams
The cohomology of diagrams arises as a natural object of study in several mathematical contexts: in deformation theory (see [GS2, GS1, GGS]), and in classifying diagrams of groups, as in [C]. If I is the one-object category corresponding to a group G, a diagram X ∈ C is just an object in C equipped with a G-action, and its cohomology is the equivariant cohomology of [I] (cf. [P1, §2]). On the o...
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