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Results tagged with cohomology
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user 25330
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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first cohomology of exterior power of tangent bundle
suppose G is a Grassmannian manifold, and TG is the tangent bundle.
By Bott's theorem $H^1(G, T_G)=0$.
Is it true that $H^1(G, \bigwedge^i T_G)=$, for i>0.
I saw some vanishing result by lepotier, …
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