Timeline for Classification of surface bundles over surfaces
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 1, 2023 at 21:54 | comment | added | Andy Putman | @MoisheKohan: I think you’re thinking of his work with Schatz, which if I remember correctly covered compact surfaces with nonempty boundary. | |
| Apr 1, 2023 at 20:15 | comment | added | Moishe Kohan | @IanAgol: I remember that Earle had a later paper (maybe with his student) on noncompact case as well. | |
| Apr 1, 2023 at 20:14 | answer | added | Andy Putman | timeline score: 3 | |
| Apr 1, 2023 at 20:09 | answer | added | Dave Benson | timeline score: 3 | |
| Apr 1, 2023 at 19:31 | answer | added | Ian Agol | timeline score: 5 | |
| Apr 1, 2023 at 6:10 | comment | added | Ian Agol | I'm pretty sure that except for some small cases, the identity component of the diffeomorphism group of a surface (compact or noncompact) is contractible. The compact case was proved by Earle-Eells, but I wasn't able to find the noncompact case in the literature. If that is true, then bundles are classified by maps $\pi_1(B)\to Mod(F)$, where $Mod(F)$ is the mapping class group of $F$. | |
| Mar 31, 2023 at 20:02 | history | asked | Daniel Asimov | CC BY-SA 4.0 |