Timeline for Generators for unitary bordism ring $\pi_*(MU)$
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S May 14, 2020 at 19:03 | history | bounty ended | CommunityBot | ||
| S May 14, 2020 at 19:03 | history | notice removed | CommunityBot | ||
| S May 6, 2020 at 17:51 | history | bounty started | CommunityBot | ||
| S May 6, 2020 at 17:51 | history | notice added | user131113 | Authoritative reference needed | |
| May 4, 2020 at 19:40 | comment | added | user131113 | @JohnGreenwood ok, I see. But the question is not about taking polynomial generators for whole $\pi_*(MU)$. I just want to take some of them (with the required property) and after that take their Hurewicz images as the missing part of polynomial generators of $H_*(MU)$. Actually, I'm wondering if there a nice description of $H_*(MSU; \mathbb F_p)$ as an $\mathfrak A_p$ comodule | |
| May 4, 2020 at 17:51 | comment | added | John Greenwood | Well if $p=3$ for example then you're only allowing polynomial generators of degree 2,6,8,10.... Since you're missing a generator of degree 4, you'll miss one of the two copies of $\mathbb{Z}$ in $\pi_4MU$. | |
| May 4, 2020 at 17:41 | comment | added | user131113 | @JohnGreenwood yes, $M_n$ are supposed to be polynomial generators of $\pi_*(MU)$, but $M_n$ is $2n$-dimensional, so they should be polynomial generators of degree $2n \neq 2(p^t-1)$. What kind of problems could appear there? | |
| May 4, 2020 at 16:25 | comment | added | John Greenwood | Are the $M_n$ supposed to be polynomial generators of $\pi_*MU$? If so, it seems like the degree restriction $n\neq p^t-1$ will cause problems. | |
| May 4, 2020 at 0:58 | history | asked | user131113 | CC BY-SA 4.0 |