Timeline for Are perverse sheaves representations of some topological invariant?
Current License: CC BY-SA 4.0
6 events
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| Feb 10 at 20:49 | comment | added | R. van Dobben de Bruyn |
MathOverflow tip: although not explicitly mentioned in the help centre, it is considered good practice to include at least one top-level tag, such as ag.algebraic-geometry or rt.representation-theory.
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| Feb 10 at 20:17 | answer | added | R. van Dobben de Bruyn | timeline score: 5 | |
| Feb 10 at 16:17 | comment | added | Will Sawin | Or one can use exodromy to define perverse sheaves on a stratified space to be representations of a certain exit path category in the derived category of vector spaces and then define perverse sheaves to be the heart of a certain t-structure on such representations. This could be a useful perspective but isn't really more enlightening than the usual definition of perverse sheaves. | |
| Feb 10 at 16:15 | comment | added | Will Sawin | Not in a helpful way, I don't think. One can define a topological object as the category of functors from perverse sheaves to vector spaces and then perverse sheaves give representations of this category in the sense of functors to vector spaces, and probably one can put suitable finiteness conditions on the functors and representations to make all representations arise from perverse sheaves. But this probably isn't useful for much. | |
| Feb 10 at 15:16 | comment | added | Nicolas Hemelsoet | I don't think so because my understanding is that there are no "canonical" way to take the tensor product in the category of perverse sheaves. | |
| Feb 10 at 2:40 | history | asked | Tanny Sieben | CC BY-SA 4.0 |