Timeline for Manifolds whose diffeomorphism group has the homotopy type of a manifold itself
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 24, 2016 at 21:43 | comment | added | Allen Knutson | As I understand it, Milnor found that $Diff(S^6)$ has 28 components, so in particular isn't homotopic to $SO(7)$. | |
| Jul 11, 2016 at 10:12 | vote | accept | Nikolay Konovalov | ||
| Jul 4, 2016 at 18:51 | comment | added | Nikolay Konovalov | O, thanks. It's nice examples. And of course the same statement is true in the case of the torus $T^2$. The connected component $Diff_0(T^2)$ is homotopy equivalent to $T^2$ itself. | |
| Jul 4, 2016 at 17:53 | history | edited | ThiKu | CC BY-SA 3.0 |
3d only
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| Jul 4, 2016 at 17:44 | history | answered | ThiKu | CC BY-SA 3.0 |