Timeline for Whitehead products on manifolds
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 21, 2010 at 1:14 | comment | added | Somnath Basu | The simplest interesting example is the Whitehead product for $S^2$, i.e., $\pi_2(S^2)\times\pi_2(S^2)\to\pi_3(S^2)$ is precisely given by sending $(1,1)$ to $2$. This is equivalent to the Hopf invariant of the Hopf map being 1, which is further equivalent to the linking number of fibres in the Hopf map being $2$. | |
| Feb 20, 2010 at 1:16 | answer | added | Pascal Lambrechts | timeline score: 9 | |
| Feb 16, 2010 at 2:27 | comment | added | Ryan Budney | Connect sums of $\mathbb CP^2$'s are a decent example. The complement of a Cantor set in $\mathbb R^3$ would be a similar one. | |
| Feb 16, 2010 at 0:35 | history | asked | Daniel Pomerleano | CC BY-SA 2.5 |