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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 group of a submanifold or Lie subgroup

In general: if one knows the cohomology group of some manifold ${\cal M}$, i.e. … I am in particular interested in the following case of an empty second cohomology group of a Lie group $G$. …
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