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Apr
19
comment Confusion surrounding the Koszul-Malgrange theorem
Oh, I see. I fixed the wording in the other entry. For issues like that, best to go to the talk-pages of the nLab, which are here: nforum.ncatlab.org
Apr
18
comment Confusion surrounding the Koszul-Malgrange theorem
That's how I am used to using "holomorphically flat", maybe it's my physics background. In any case, to disambiguate, the sentence continued with the precise statement.
Apr
16
comment What is the relation between sphere spectrum and supersymmetry?
I am not sure what the intent is of asking -- regarding an insight genuinely due to Kapranov and well exposed in his very recent article arxiv.org/abs/1512.07042 -- whether there are reference other than Kapranov's? Maybe in 10 years there will be various references reviewing and building on Kapranov's insight, but at the moment where it comes out, I would think that the best reference for Kapranov's insight is Kapranov's article. It's nicely written, too.
Apr
14
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Apr
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Mar
29
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Mar
21
comment When two vertex (operator) algebras can be patched-up to a full CFT on a genus 0 surface?
This was a statement I took from a talk by Alexei Davydov golem.ph.utexas.edu/category/2010/06/… It seems the relevant published version never materialized. I am taking the statement out of the nLab entry.
Mar
11
comment Is there a name for a noncommutative generalization of Poisson algebra?
Another possible direction to go: if one thinks of the Poisson algebra as incarnated equivalently in its Poisson Lie algebroid, then one may ask for the generalization to Lie algebroids over non-commutative base manifolds. This is well studied in the guise of "Lie-Rhinehart pairs" ncatlab.org/nlab/show/Lie-Rinehart+pair
Mar
1
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Feb
22
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19
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Feb
13
comment Seeing stacks in the Calculus of Functors
Could we check the claim for Goodwillie calculus? Boavida-Weiss do not quite speak about that explicitly, do they. What exactly is the claim meant to be for this case?
Feb
13
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Feb
9
comment Seeing stacks in the Calculus of Functors
Sounds great. Should this answer come with a reference or with the announcement of a reference?
Feb
5
comment Continuous cohomology via model category
Okay, if the question is about the naive continuous group cohomology then the answer is also "Yes." Use the global model structure on simplicial presheaves. (I.e. don't localize it at covers).
Feb
4
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Feb
2
comment Continuous cohomology via model category
I suppose what you are after is, or is closely related to, the cohomology of topological/Lie groups due to Segal "Cohomology of topological groups" and Brylinski "Differentiable Cohomology of Gauge Groups"? If so, then, yes, this is equivalent to the derived hom out of the nerve of the Lie group in the model category of simplicial presheaves over manifolds. This is theorem 4.4.36 in "Differential cohomology in a cohesive topos" arxiv.org/abs/1310.7930
Jan
31
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Jan
28
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