Timeline for Formal group laws arising from localizations of MU
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jul 28, 2013 at 3:01 | vote | accept | Jonathan Beardsley | ||
| Jul 7, 2012 at 21:36 | comment | added | Craig Westerland | @Jon, do you mean the localisation of the homotopy rings, rather than cohomology rings (that's what we're doing above with $MU$)? If so, in the generality of your original question (i.e., localisation at a homology theory), I think that the answer is no. For instance, localisation at Morava K-theories tends to introduce unexpected negative homotopy groups, even to connective spectra. Localising at a prime, however, is much more reasonable, and has the desired effect on $MU$. Indeed, Sullivan's original localisation of spaces was constructed by localising their homotopy. | |
| Jul 6, 2012 at 20:05 | comment | added | Jonathan Beardsley | @Craig Does a localization of the spectrum always induce an actual localization of the cohomology rings? | |
| Jul 6, 2012 at 14:34 | history | edited | Ulrich Pennig | CC BY-SA 3.0 |
latex fixed
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| Jul 6, 2012 at 14:32 | history | edited | Craig Westerland | CC BY-SA 3.0 |
added 2 characters in body
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| Jul 6, 2012 at 14:31 | history | edited | Ulrich Pennig | CC BY-SA 3.0 |
fixed the latex
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| Jul 6, 2012 at 14:12 | history | answered | Craig Westerland | CC BY-SA 3.0 |