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Apr
17 |
comment |
Does the category of G-spectra know G?
Re. the question of "why not use some nonabelian coefficients like all $G$-spaces", the point for me is that my access to the category of $G$-modules comes via constructible sheaves on a space with fundamental group $G$. Of course, one can take constructible sheaves with nonabelian coefficients. However, I need to use microlocal techniques in sheaf theory, which fundamentally depend on the ability to take cones, shifts, etc. Thus, I need to use coefficients which allow this; ergo, spectra rather than spaces. |
Apr
17 |
awarded | Nice Question |
Apr
16 |
revised |
Does the category of G-spectra know G?
edited tags |
Apr
16 |
accepted | What does the representation category of the knot group know? |
Apr
16 |
comment |
Does the category of G-spectra know G?
@AntonFetisov : but what is the stabilization of G? How do you know it doesn't know G? (Finding a finite group counter example to Z[G] knows G took 60 years or something) |
Apr
16 |
revised |
What does the representation category of the knot group know?
added 45 characters in body |
Apr
16 |
answered | What does the representation category of the knot group know? |
Apr
16 |
asked | Does the category of G-spectra know G? |
Apr
6 |
comment |
On push-forward of the constant sheaf for fibrations
Consider the Hopf fibration $S^3 \to S^2$. If your sequence split, then $H^*(S^2)$ would be a summand of $H^*(S^3)$. |
Apr
1 |
comment |
What kind of K-theory is this?
Eg how is it related to any usual notion of k theory, in particular, is it just equal to one of them. |
Mar
31 |
asked | What kind of K-theory is this? |
Mar
19 |
comment |
Does the “holomorphic spheres-to-continuous spheres” forgetful function respect the mixed Hodge structures on homotopy groups?
Is this mixed hodge structure constructed by actually making a simplicial scheme (which?) whose cohomology groups are the homotopy groups of the original $X$? |
Mar
19 |
comment |
N-periodic derived categories
Is it not OK to just work in the usual Z-graded but unbounded derived category, and then pass to fixed points under shift-by-N? |
Mar
18 |
awarded | Yearling |
Nov
24 |
awarded | Civic Duty |
Nov
7 |
revised |
What does the representation category of the knot group know?
deleted 94 characters in body |
Nov
7 |
comment |
What does the representation category of the knot group know?
representation of one, representation of the other, morphism between them compatible with the map of groups. |
Nov
6 |
asked | What does the representation category of the knot group know? |
Nov
5 |
awarded | Mortarboard |
Nov
5 |
awarded | Enlightened |