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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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Cohomology ring of classifying space of spin group $\mathrm{BSpin}(n)$
Haibao Duan, The characteristic classes and Weyl invariants of Spinor groups, https://arxiv.org/abs/1810.03799
This recent paper gives a clean answer for your question. In particular, it provides th …