Timeline for What are the best known results for the stable homotopy groups of spheres?
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 19, 2021 at 15:11 | comment | added | Lennart Meier | The details of the computation of Isaksen, Wang and Xu are now available in arxiv.org/abs/2001.04247 and arxiv.org/abs/2001.04511 | |
| Jan 9, 2019 at 13:41 | comment | added | Lennart Meier | Recently, Isaksen, Wang and Xu have announced computation far beyond the previously known ones, with complete information at least up to the 68-stem and almost complete information at least up to the 90-stem. They use ideas from motivic homotopy theory. More information can be found e.g. in this talk: newton.ac.uk/seminar/20180928100011001 | |
| Mar 15, 2016 at 8:58 | comment | added | Lennart Meier | In a recent paper, Wang and Xu have computed the 60 and 61 stem: arxiv.org/pdf/1601.02184v2.pdf (note that the earlier computations to the 64 stem contain mistakes) They also include a discussion of the history of computations of stable stems, which I recommend. | |
| Jul 13, 2014 at 8:53 | comment | added | Lennart Meier | The most recent charts for the Adams-spectral sequence can be found in arxiv.org/pdf/1401.4983.pdf by Dan Isaksen, which are complete and re-checked until the 59 stem. | |
| Nov 25, 2011 at 11:34 | answer | added | Neil Strickland | timeline score: 8 | |
| Nov 25, 2011 at 10:00 | comment | added | André Henriques | "can be computed pretty much algorithmically"... and has been computed algorithmically quite far out: nullhomotopie.de/charts/index.html | |
| Nov 25, 2011 at 8:53 | answer | added | Paul Pearson | timeline score: 9 | |
| Nov 25, 2011 at 8:05 | answer | added | Christian Nassau | timeline score: 15 | |
| Nov 25, 2011 at 4:59 | comment | added | Dylan Wilson | Wherever the limits are, it's probably precisely due to the lack of information about the differentials- Ext can be computed pretty much algorithmically. There's also an inductive method using the EHP spectral sequence. For more information you should look up the work of Ravenel, who did (does) a lot of this sort of thing. | |
| Nov 25, 2011 at 3:29 | history | asked | Callan McGill | CC BY-SA 3.0 |