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Results tagged with perverse-sheaves
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user 66
11
votes
3
answers
2k
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What's an example of an intersection cohomology sheaf whose stalks are pure but not pointwis...
I'll freely admit that I have a rather hard time keeping straight different notions of purity of etale sheaves, and I think part of the problem is the lack of counterexamples.
For example, it's a the …
- 44.7k
5
votes
0
answers
484
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Are Lusztig's perverse sheaves the only equivariant ones with nilpotent characteristic cycle?
In his '91 paper, Lusztig defines a collection of simple perverse sheaves that correspond to the canonical basis; these are defined using a pushforward construction, and from the definition, it's easy …
- 44.7k
11
votes
2
answers
2k
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What do the local systems in Lusztig's perverse sheaves on quiver varieties look like?
In "Quivers, perverse sheaves and quantized enveloping algebras," Lusztig defines a category of perverse sheaves on the moduli stack of representations of a quiver. These perverse sheaves are defined …
- 44.7k
11
votes
1
answer
785
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What's known about the stalks of Lusztig's perverse sheaves on quiver varieties?
Lusztig has defined a category of perverse sheaves on the moduli space of representations of a Dynkin quiver (see his paper) corresponding to canonical basis vectors.
I'm interested in the stalks o …
- 44.7k