Timeline for Chern numbers of primitive classes in BU
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 3, 2011 at 16:38 | comment | added | Vitali Kapovitch | I read the proof and it is pretty clear except for one part in the proof of periodicity. He looks at the Bott map $\beta:\tilde K(X)\to \tilde K(X\wedge S^2)$ coming from $\xi\mapsto \xi\otimes(\gamma -1)\in \tilde K(X\times S^2)$ where $\gamma$ is the canonical complex line bundle over $S^2=\mathbb{CP}^1$. He claims that this map is obviously onto. I don't quite see why that's true. | |
| Nov 3, 2011 at 14:40 | comment | added | Vitali Kapovitch | In 3rd edition this statement is Cor 20.9.8. It's a consequence of Bott periodicity. | |
| Nov 3, 2011 at 13:00 | comment | added | Yasha | I have 3rd edition but do not have this cor. What edition do you mean? Could you just outline the argument I may be able to fill in the details. | |
| Nov 3, 2011 at 5:11 | history | edited | Torsten Ekedahl | CC BY-SA 3.0 |
added 12 characters in body
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| Nov 3, 2011 at 5:11 | comment | added | Torsten Ekedahl | Sorry I intended to give the precise reference but managed to forget. | |
| Nov 3, 2011 at 2:24 | comment | added | Yasha | I cannot find this in Husemoller, would you give a section number or an outline of the argument? | |
| Nov 3, 2011 at 2:01 | vote | accept | Yasha | ||
| Nov 2, 2011 at 23:01 | history | answered | Torsten Ekedahl | CC BY-SA 3.0 |