Timeline for Parameterizing Teichmüller spaces of punctured surfaces
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 7 at 3:14 | history | became hot network question | |||
| Mar 7 at 0:34 | vote | accept | Yousuf Soliman | ||
| Mar 6 at 22:05 | comment | added | Sam Nead | @Yousuf - you are confusing the moduli space and the Teichmuller space. The capping off map exists in both settings, and is a fibre bundle in both cases. But the fibre is a configuration space of points in the surface only in moduli space setting. | |
| Mar 6 at 22:01 | history | edited | Yousuf Soliman | CC BY-SA 4.0 |
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| Mar 6 at 22:00 | comment | added | Yousuf Soliman | @Nicolast, that is interesting. Do you have a reference that the fiber is the universal cover? | |
| Mar 6 at 21:54 | comment | added | Sam Nead | Yes, the notation $S_{g,n}$ is much more common for the surface. | |
| Mar 6 at 21:54 | comment | added | Nicolast | The answer is yes, the forgetful map is a fiber bundle. But its fiber is the universal cover of the configuration space of $n$ points. | |
| Mar 6 at 21:52 | comment | added | Nicolast | Not addressing the question but I find the notation $M_{g,n}$ for a surface particularly confusing, given that $\mathcal M_{g,n}$ usually denotes the moduli space of Riemann surfaces. | |
| Mar 6 at 20:19 | answer | added | Sam Nead | timeline score: 3 | |
| Mar 6 at 19:12 | history | asked | Yousuf Soliman | CC BY-SA 4.0 |