Timeline for Table of (integral) cohomology groups of K(Z,n)
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 27, 2016 at 18:56 | answer | added | Mark Grant | timeline score: 6 | |
| Apr 27, 2016 at 16:44 | comment | added | Neil Strickland | There is a paper "Integral cohomology operations" by Stan Kochman that treats the stable case, and this agrees with the unstable case through a range. However, the answer is unpleasant. I think that all possible applications can be done more cleanly using a combination of $H\mathbb{Z}/p$ and $H\mathbb{Q}$, or sometimes by using $K$-theory or complex cobordism instead. | |
| Apr 27, 2016 at 16:42 | answer | added | Benjamin Antieau | timeline score: 7 | |
| Apr 27, 2016 at 16:26 | comment | added | Denis Nardin | I'll add that the lack of interest compared to the case of $F_p$ is perhaps due to the fact that $H\mathbb{Z}$ is not a flat cohomology theory, and so it has no nice Adams spectral sequence that could serve as an application of the structure of the integral Steenrod algebra. | |
| Apr 27, 2016 at 16:20 | comment | added | Denis Nardin | The answer to the stable question (i.e. the integral cohomology of $H\mathbb{Z}$) is here: mathoverflow.net/questions/50519/…. Maybe there's something of interest for you there. | |
| Apr 27, 2016 at 16:20 | comment | added | Daniel Barter | I would guess that books about cohomology operations would be a good place to look | |
| Apr 27, 2016 at 16:12 | history | asked | Guillaume Brunerie | CC BY-SA 3.0 |