Timeline for explicit linear representations of fundamental groups of surfaces
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 2, 2011 at 5:48 | comment | added | Dan Ramras | Yes, good point! | |
| Feb 2, 2011 at 5:46 | comment | added | HJRW | More generally, one can send the $a_i$ to whatever you like and the $b_i$ to the identity (or vice versa). The point is simply that $\pi_1 M_g$ surjects a free group of rank $g$. | |
| Feb 2, 2011 at 5:15 | comment | added | Dan Ramras | Yeah, these are pretty simple representations, so I'm sure they've been known a long time. I was just trying to remember where I had found them. | |
| Feb 1, 2011 at 21:40 | comment | added | Igor Rivin | @Dan: these permutation representations probably predate Narasimhan and Seshadri's birth by several decades (since I am reasonably sure that Hurrwitz knew this, but have no evidence). In this connection, you can take a look at M. Droste and I. Rivin On extension of coverings | |
| Feb 1, 2011 at 20:58 | comment | added | Dan Ramras | Oh, and "not that exciting" includes "not faithful"... | |
| Feb 1, 2011 at 20:57 | history | answered | Dan Ramras | CC BY-SA 2.5 |