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Results tagged with cohomology
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user 4991
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, ...
9
votes
How should one think about pushforward in cohomology?
Parallel to the OP's two examples, if a cohomology class is defined through intersection with a submanifold (or subvariety with fundamental class in locally finite homology) then the pushforward is defined … But having models for pushforwards counts towards understanding a particular cohomology theory geometrically. …
- 4,990
16
votes
How to get product on cohomology using the K(G, n)?
Yes, this iterated bar construction model should be better known, and can be expressed even more geometrically than Ravenel and Wilson do.
If $A$ is an abelian group then $K(A,n)$ is modeled by a spa …
- 4,990