Timeline for Twists of K-theory and tmf
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Feb 4, 2012 at 15:48 | answer | added | Thomas Nikolaus | timeline score: 5 | |
| Nov 16, 2011 at 17:47 | comment | added | John Rognes | In case it was not clear -- the relation to $K(ku)$ comes from the maps $BBU_\otimes \to BGL_1(ku) \to BG_\infty(ku) \to K(ku)$. I would be happy just to see a ring spectrum map from $K(ku)$ to $E_2$, not necessarily factoring through $EO_2$ or $TMF$. | |
| Nov 14, 2011 at 17:59 | comment | added | Tyler Lawson |
I can't answer your question about $BBU_\otimes$. All I can say is that one of the most natural places that possess those kinds of orientations is $K(ku)$, the algebraic K-theory of the complex K-theory spectrum $ku$. Ausoni-Rognes showed that $K(ku)$ possesses chromatic features similar to elliptic cohomology, and Baas-Dundas-Richter-Rognes showed that $K(ku)$ can be interpreted in terms of 2-vector bundles. So far as I know there isn't a direct comparison to elliptic cohomology theories.
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| Nov 14, 2011 at 7:55 | history | edited | Ulrich Pennig | CC BY-SA 3.0 |
expanded second question
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| Nov 13, 2011 at 22:09 | answer | added | Tyler Lawson | timeline score: 10 | |
| Nov 13, 2011 at 21:08 | history | asked | Ulrich Pennig | CC BY-SA 3.0 |