Timeline for What's an example of 2 elliptic curves with the same ground ring s.t. their associated cohomology theories detect different things?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| May 9, 2015 at 15:33 | vote | accept | Catherine Ray | ||
| May 9, 2015 at 15:33 | |||||
| Apr 1, 2015 at 5:00 | comment | added | Charles Rezk | That's approximately true. If two Landweber exact theories have the same heights, their associated AdamsNovikov s.s. (computing an approximation to the stable homotopy groups of spheres) are the same. This is called a "change of rings" theorem. The paper I cited explains some of this. (Without the Landweber exact hypothesis, it's not precisely true.) | |
| Apr 1, 2015 at 4:37 | comment | added | Catherine Ray | Let $E_1$ and $E_2$ be elliptic cohomology theories associated to elliptic curves of the same height over the same ring. If I understand correctly, you are saying that $E_1$ and $E_2$ have identical ANSS because (complex oriented, not sure if I need this here) cohomology theories of the same chromatic height have the same ANSS (i.e. elliptic cohomology theories of height $n$ have the same ANSS as $K(n)$). Do elliptic cohomology theories associated to elliptic curves of the same height also have identical Atiyah-Hirzeburch SS? | |
| Mar 30, 2015 at 2:30 | history | answered | Charles Rezk | CC BY-SA 3.0 |