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Results tagged with cohomology
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user 28050
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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Is there a Hodge isomorphism theorem for part-tangential, part-normal, harmonic differential...
Here are two generalizations to the Hodge isomorphism theorem:
For each de Rham $p$-cohomology class $[\alpha] \in H^p(M)$ there exists a unique tangential harmonic $p$-form $\omega$. … For each relative de Rham $p$-cohomology class $[\alpha] \in H^p(M, \partial M)$ there exists a unique normal harmonic $p$-form $\omega$. …
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