Timeline for Twists of K-theory and tmf
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 14, 2011 at 9:25 | comment | added | Neil Strickland | I would just mention that ring maps $\Sigma^\infty_+K(\mathbb{Z},3)\to E$ (for suitable even periodic $E$) correspond to Weil pairings on the formal group for $E$. For any elliptic curve $C$ there is a canonical Weil pairing on $C$ and therefore on the infinitesimal part of $C$, which is a formal group. This provides a canonical map from $\Sigma^\infty_+K(\mathbb{Z},3)$ to any elliptic spectrum and thus (modulo handwaving) to $TMF$. This is the same as the map coming from the string orientation. I don't know if there is a similarly rich algebraic story for $BBU_{\otimes}$. | |
| Nov 13, 2011 at 23:30 | comment | added | Charles Rezk | I don't know what I could say that's not in the ABG paper. | |
| Nov 13, 2011 at 22:15 | history | edited | Tyler Lawson | CC BY-SA 3.0 |
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| Nov 13, 2011 at 22:15 | comment | added | Tyler Lawson | It's quite likely that either Neil or Charles will be able to answer your question in more depth. | |
| Nov 13, 2011 at 22:09 | history | answered | Tyler Lawson | CC BY-SA 3.0 |