Timeline for Is the connecting map $\pi_2(B) \to \pi_1(F)$ ever nonzero in smooth proper families?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Jul 18, 2023 at 1:19 | comment | added | Ben C | Amazing! If you write this as an answer I will accept it | |
| Jul 18, 2023 at 0:35 | comment | added | eigenbunny | it does not. The pullback by any $C^\infty$ map is still a symplectic fibration, and that's all the argument uses. | |
| Jul 17, 2023 at 23:02 | comment | added | Ben C | Doesn't this argument rely on the map $S^2 \to B$ being holomorphic but there may be no holomorphic representative. | |
| Jul 17, 2023 at 22:53 | comment | added | eigenbunny | You can use the techniques from this: mathoverflow.net/questions/185171/… and pull back your fibration by any map from $S^2$ to $B$. I believe this shows the connecting map to be trivial whenever $f$ is projective. | |
| Jul 15, 2023 at 17:57 | history | asked | Ben C | CC BY-SA 4.0 |