Timeline for Power operations and Lambda-structure-like lifts of Frobenius in $E_\infty$-geometry?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 18, 2014 at 7:18 | comment | added | Urs Schreiber | Thanks! You mean Strickland 98 (ncatlab.org/nlab/show/power+operation#Strickland98). Also, you seem to think of some established theory of Frobenius lifts in this case, maybe you could provide further pointers to the literature for that? | |
| Aug 15, 2014 at 23:57 | comment | added | Elden Elmanto | Just to make the correspondence between power operations in Morava $E$-theory and Frobenius lifts precise we have the theorem of Strickland that says: if $G$ is the formal group associated to a Morava $E$-theory, then Frobenius lifts (which corresponds to degree $p^k$ subgroups of $G$) are classified by maps into $E^0(B\Sigma_{p^r})/I_{tr}$ where $I_{tr}$ is the transfer ideal. So, for example, the map $\psi$ above is corresponds to a universal map $KU^0 \rightarrow KU^0(B\Sigma_p)/I_{tr} \simeq KU^0$. | |
| Aug 15, 2014 at 19:23 | comment | added | Urs Schreiber | This is excellent, thank you. I have taken the liberty of recording a version of your reply here: ncatlab.org/nlab/show/power+operation#OnK1LocalKUAlgebras | |
| Aug 15, 2014 at 17:19 | history | answered | Akhil Mathew | CC BY-SA 3.0 |