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Results tagged with steenrod-algebra
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user 10366
15
votes
Accepted
What is an unstable dual-Steenrod comodule?
Normally people think about Steenrod comodules as graded $\mathbb{Z}/2$-modules equipped with a graded coaction $\psi\colon M_*\to M_*[\xi_1,\xi_2,\dotsc]$. However, it is equivalent to consider ungr …
- 56.9k
7
votes
Accepted
Adem-Wu relations from Bullett-Macdonald identities
Larry Smith is not really using complex integration. Instead, he is using the residue map, which can be defined algebraically by the rule
$$ \text{res}\left(\sum_{k=-N}^\infty a_k z^k dz\right)=a_{- …
- 56.9k
16
votes
$Sq^1$ cohomology of spaces
I remember that when I wrote my thesis I was unable to find references for some quite basic facts about this that everyone knew. It is quite possible that there were references that I did not succeed …
- 56.9k
9
votes
Steenrod squares as power operations vs. as cohomology operations
Here are some things that one can say for more general ring spectra. I choose to work with even periodic spectra, where $\pi_1(E)=0$ and $\pi_2(E)$ contains an invertible element, so that one can gen …
- 56.9k