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A branch of algebraic topology concerning the study of cocycles and coboundaries. It is in some sense a dual theory to homology theory. This tag can be further specialized by using it in conjunction with the tags group-cohomology, etale-cohomology, sheaf-cohomology, galois-cohomology, lie-algebra-cohomology, motivic-cohomology, equivariant-cohomology, ...

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Interpretation of the formal groups arising from the DeRham-Witt complex

This is an old question but since it hasn't received much attention, let me just point out "the next" example beyond that given in the question: Let $k$ be a perfect field of characteristic $p>0$, and …
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Interpretation of the formal groups arising from the DeRham-Witt complex

It is shown in [Blo77] that the slope $[i,i+1)$ part of $H^{r}_{\mathrm{cris}}(X/W(k))[1/p]$ is given by the cohomology of the sheaf of $p$-typical curves on $S\mathcal{K}_{i+1}$. … Bloch, Algebraic K-theory and crystalline cohomology, Inst. Hautes Etudes Sci. Publ. Math. (1977), no. 47, 187-268. …
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