Timeline for A homotopyish Landweber exact functor theorem
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 26, 2012 at 21:37 | answer | added | Peter May | timeline score: 0 | |
| May 25, 2012 at 12:24 | vote | accept | Akhil Mathew | ||
| May 24, 2012 at 4:53 | vote | accept | Akhil Mathew | ||
| May 24, 2012 at 4:53 | |||||
| May 23, 2012 at 3:50 | comment | added | Tyler Lawson | I'll second Fernando's comment. In particular, there are a lot of Landweber exact elliptic cohomology theories. Constructing them functorially is very difficult. Constructing MU-algebras can be terrifyingly difficult depending on how much structure you want. The problem is that you're fundamentally starting with "up to homotopy" data (a module), and rectifying that into an actual spectrum is very, very unlikely to be a canonical procedure. (This isn't specific to homotopy theory, either. The same problem should show up in the differential-graded world.) | |
| May 23, 2012 at 3:29 | answer | added | Peter May | timeline score: 8 | |
| May 22, 2012 at 22:12 | comment | added | Fernando Muro | I'm sceptical about a possible positive answer because, if there were a more direct construction, I would expect it to be functorial on $M$, but the spectrum representing a cohomology theory is not functorial. | |
| May 22, 2012 at 19:10 | answer | added | Neil Strickland | timeline score: 17 | |
| May 22, 2012 at 16:59 | history | asked | Akhil Mathew | CC BY-SA 3.0 |