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Results tagged with equivariant-cohomology
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user 22810
9
votes
1
answer
1k
views
Geometric construcion of Proj as a quotient by a $\mathbb{G}_m$ action
I'm trying to translate the Proj construction as a kind of quotient by a $\mathbb{G}_m$ action. Here's what I have so far:
Let $X=Spec\,A$ be an affine scheme (after this case is setteled I imagine it …
- 7,799
8
votes
1
answer
678
views
Interactions (functors) between equivariant sheaves for different groups?
Let $G$ be a finite group and $k$ a field (alg. closed char 0 for simplicity).
To every $G$ set $X$ we can assign the category of $G$-equivariant sheaves of $k$-vector spaces $Sh_G(X)$. It is essenti …
- 7,799
8
votes
1
answer
950
views
Homotopy theoretic description of homotopy fixed points (and obstructions) for an action of ...
There are several scattered statements about fixed points and obstructions which I'd very much like to see unified in some framework.
To state them let $G$ be a group acting on a connected (1-truncat …
- 7,799
6
votes
0
answers
303
views
Geometric interpretation of a formula for the induced character (fix point localization?)
Let $H < G$ be a subgroup of a finite group $G$. Let $X:=G/H$ and $\mathcal{F} \in Sh_G(X)$ be an equivariant sheaf on $X$ (w.r.t. left multiplication) associated to a finite dimensional representatio …
- 7,799
4
votes
1
answer
307
views
Functors between categories of equivariant sheaves are equivariant sheaves on the product?
This is a follow up question to this question which remained unanswered (satisfactorily) even after a large bounty. I have made a litlle progress and I have no a more specific question which might be …
- 7,799
2
votes
1
answer
181
views
Orbit decomposition of the restriction of an equivariant sheaf?
All sets and groups in the question are finite.
In order to understand equivariant sheaves better I'm trying to prove some basic facts from Mackey theory using equivariant sheaves. The main obstacle …
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