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1d
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).
2d
awarded  Nice Answer
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
awarded  Nice Answer
Jan
28
awarded  Announcer
Jan
21
comment higher algebraic homotopy groups for schemes?
ncatlab.org/nlab/show/étale+homotopy
Jan
5
awarded  Announcer
Jan
5
accepted Differential operators are coKleisli morphisms of the jet co-monad
Dec
30
awarded  Nice Answer
Nov
26
comment equivariant stable class of quaternionic Hopf fibration in RO(G)-degrees of ADE-type
I have now written out a proof, using the above argument and appealing to Greenlees-May decomposition and tom Dieck splitting: ncatlab.org/nlab/show/…
Nov
25
awarded  Nice Question
Nov
23
comment equivariant stable class of quaternionic Hopf fibration in RO(G)-degrees of ADE-type
For what it's worth, the exclusion of the cyclic ADE groups actually matches the situation in the application that motivates me here: one sees the same exclusion on p. 3 of arxiv.org/abs/hep-th/9812205 (ncatlab.org/nlab/show/G2+manifold#WithADEOrbifoldStructure).
Nov
23
accepted equivariant stable class of quaternionic Hopf fibration in RO(G)-degrees of ADE-type
Nov
22
revised equivariant stable class of quaternionic Hopf fibration in RO(G)-degrees of ADE-type
fixed alleged O(3)-equivariance of quaternion product to SO(3)-equivariance
Nov
22
comment equivariant stable class of quaternionic Hopf fibration in RO(G)-degrees of ADE-type
Thanks! I get it. Just to amplify: your argument says that a Hopf generator should become non-torsion equivariantly whenever the fixed points of the action reduce it to a 1-sphere; and for n = 3 this is case for all the ADE finite groups except the cyclic ones. Incidentally, that is consistent with Araki-Iriye'82 cited above: their prop. 10.1 and theorem 10.11 says that Z/2-equivariantly the quaternionic Hopf fibration is still torsion of order 24.
Nov
21
awarded  Revival
Nov
20
answered projective representation of supergroup
Nov
20
comment equivariant stable class of quaternionic Hopf fibration in RO(G)-degrees of ADE-type
Thanks. Apparently I need to get into contact with David Barnes ncatlab.org/nlab/show/…
Nov
20
asked equivariant stable class of quaternionic Hopf fibration in RO(G)-degrees of ADE-type
Nov
17
comment Is there a symmetric monoidal 2-category “SuperDuperVect”?
See also the references at ncatlab.org/nlab/show/super+line+2-bundle