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Results tagged with equivariant-homotopy
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user 123432
Equivariant homotopy theory is the study of how homotopy theory behaves when spaces are considered together with a group action on them.
3
votes
1
answer
204
views
Reduction to graph subgroups for Bredon homology when the $G_1\times G_2$ is $G_2$-free
I have the following problem. Let $\Gamma_{G_1\times G_2}$ be a full subcategory of the orbit category $\mathcal{O}_{G_1\times G_2}$ consisting of graph subgroups of $G_1\times G_2$. Further, let $N$ …
- 1,759
5
votes
0
answers
195
views
Construction of equivariant Steenrod algebra
I am reading through the calculations in Hu-Kriz "Real-oriented homotopy theory and an analogue of the Adams-Novikov spectral sequence" and I've got a small problem in understanding the computations o …
- 1,759
1
vote
0
answers
241
views
A $d_1$-differential in the homotopy fixed points spectral sequence
I have the following problem. Let $Q$ denote $\mathbb{Z}/2$ as an abelian group and let $X$ be a $Q$-spectrum. If I want to compute the homotopy groups of $X^{hQ}$, homotopy fixed points spectrum, I c …
- 1,759
9
votes
1
answer
256
views
"Oriented representation" sphere
I am trying to understand basic notions from Hill-Hopkins-Ravenel paper: https://arxiv.org/abs/0908.3724
In the Example 3.10 we are considering equviariant cellular chain complex for $n$-dimensional …
- 1,759
5
votes
1
answer
415
views
$RO(Q)$-graded homotopy fixed point spectral sequence
I am trying to understand some part of J. Greenlees's "Four approaches to cohomology theories with reality": https://arxiv.org/abs/1705.09365
I have a problem with understanding $RO(Q)$-graded homoto …
- 1,759
2
votes
2
answers
207
views
Bredon cohomology of a sign representation for a cyclic group of order 4
Yet another question "I compute Bredon cohomology of something and I am not sure, whether it is correct".
So I am taking a sign representation $\sigma$ of cyclic group of order 4, $C_4$. Then I compa …
- 1,759