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Results tagged with cohomology
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user 717
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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What is a cohomology theory (seriously)?
Is there a unifying concept behind everything that is called a "cohomology theory"? … I know that there exist generalized cohomology theories, Weil cohomology theories and perhaps one might include delta-functors, which describe (some of) the properties of explicit cohomology theories. …
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2
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Dolbeault cohomology
If I remember right there should be something in "Differential Analysis on Complex Manifolds" by Wells.
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Neukirch's class field axiom and cohomology of units for unramified extension
question may be too detailed but perhaps somebody knows the answer: Neukirch proofs in his algebraic number theory book in Chapter IV, Proposition 6.2, that his class field axiom implies that the Tate cohomology …
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5
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What is a cup-product in group cohomology, and how does it relate to other branches of mathe...
You should definitely take a look at Lang's "Topics in Cohomology of Groups", chapter 4. There a general notion of cup-products on delta-functors is introduced. …
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