Timeline for Definition of the vertical tangent bundle for a Lefschetz fibration
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 7 at 16:35 | comment | added | Marco Golla | I guess it would make sense, as long as you only talk about the first Chern class, since removing isolated points from a $2n$-manifold doesn't affect $H^2$ for $n>1$. | |
| Apr 7 at 15:16 | comment | added | Riccardo | Hi Marco! I’m pretty sure that’s what he’s doing, I was just wondering if it still makes sense to talk about a chern class for it, or if everything is doing “formally” and then using your reasoning to say “well it exists because we are avoiding $C$” | |
| Apr 7 at 13:27 | comment | added | Marco Golla | I haven't looked at Seidel's book, but here's a thought. Since vertical bundle is defined away from the set $C$ of critical points of $\pi$, you can pull it back if the image of $u$ avoids $C$. Could it be that this is what he's doing? | |
| Apr 7 at 2:07 | history | asked | Riccardo | CC BY-SA 4.0 |