Timeline for What is the ring structure of the complex topological K-theory of a non-singular complex quadric?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 6, 2013 at 15:27 | vote | accept | Oliver Nash | ||
| Aug 6, 2013 at 15:26 | answer | added | Oliver Nash | timeline score: 3 | |
| May 19, 2013 at 11:40 | comment | added | Oliver Nash | Thanks Dylan, all three of these are very helpful remarks. If I don't receive an answer by tomorrow I think I'll just bash it out myself, most likely using Atiyah-Hirzebruch as you suggest in (iii). | |
| May 18, 2013 at 18:03 | comment | added | Dylan Wilson | (iii) There's always the Atiyah-Hirzebruch SS. | |
| May 18, 2013 at 18:03 | comment | added | Dylan Wilson | Three approaches: (i) Adams computed the $K$ theory of real projective spaces a while ago, and there is a Serre-type spectral sequence for any cohomology theory (take ordinary cohomology of the total space with coefficients in the $K$-theory of the fiber, in this case), so you can write down some fiber sequences to try and compute the $K$ theory of unoriented Grassmannian $G(2, n)$, and then go after the oriented one. (ii) You could use the fact that we already know what the $K$-theory of $BSO(2)$ is, and try to understand the difference between this and the approximations by Grassmannians, | |
| May 18, 2013 at 16:20 | history | asked | Oliver Nash | CC BY-SA 3.0 |