Timeline for Residual finite dimensionality of surface groups
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Aug 30, 2011 at 12:04 | comment | added | Andreas Thom | @HW: You are probably talking about the variety of finite-dimensional (non-unitary) representations (for a fixed finite dimension). I was talking about infinite-dimensional unitary representations. As far as I can see, your observation does not help. | |
| Aug 30, 2011 at 9:51 | comment | added | HJRW | I think it's fairly easy to see that reps which factor through free quotients are dense, at least in some components of the representation variety. (Richard knows much more about this than I do.) Does that help? | |
| Aug 29, 2011 at 17:14 | comment | added | Andreas Thom | One would need to show that every unitary representation of a surface group is weakly contained in a direct sum of unitary representation which factor through free quotients. This seems to be difficult as well. | |
| Aug 29, 2011 at 16:44 | comment | added | Autumn Kent | Does it help that surface groups are fully residually free? Or that they are residually $\mathrm{PSL}_2(\mathbb{F}_p)$? | |
| Aug 29, 2011 at 15:25 | history | asked | Andreas Thom | CC BY-SA 3.0 |