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Results tagged with cohomology
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user 37861
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, ...
3
votes
1
answer
191
views
"Künneth bigrading" for subsets of $X \times Y$?
Given two algebraic varieties $X$ and $Y$, the Künneth theorem implies that there is a relation between $H^*(X) \otimes H^*(Y)$ and $H^*(X \times Y)$, and in fact in many cases they are equal.
Given …
8
votes
Accepted
positions of a methane molecule with carbon atom at the origin
Over $\mathbb{Z}/2$ it turns out to be pretty boring. Your space $G$ (which you really shouldn't call that, as it's merely a manifold, not a group), which you define as a quotient of $O(3)$ or equiva …