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Results tagged with cohomology
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user 919
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, ...
7
votes
Accepted
Are Kazhdan-Lusztig $R$-polynomials the Poincare polynomials of the corresponding affine var...
I think that this is one of these things that looks plausible in small examples but is false. For example, this would imply that the coefficients of R polynomials are alternating in $q$. This is impli …
- 6,162
2
votes
how good an approximation to the equivariant derived category is given by the Grassmannian f...
Then, if $F$ and $G$ have cohomology sheaves concentrated in an interval $I$ with $|I| < n$ then the natural map from $Hom (F, G) \to Hom(p^* F, p^* G)$ is an isomorphism. … in geometric representation theory the objects on $pt/G$ that are being considered are often direct sums of equivariant constant sheaves (eg if one takes the equivariant intersection cohomology of a projective …
- 6,162
5
votes
Accepted
Tensor product of perverse sheaves on flag varieties
First a general comment: as Sasha alludes to, there are two tensor products of complexes of sheaves. Let $i : X \hookrightarrow X \times X$ denote the diagonal. We have, and given complexes of sheaves …
- 6,162
5
votes
Is there any "deep" relation between the localization theorem of equivariant cohomology and ...
Example 3: $J$ is equivariant cohomology for spaces with $T$-action. Here "small" means "is torsion", and we recover the localization theorem in equviariant cohomology. …
- 6,162