Timeline for Fundamental groups of noncompact surfaces
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 21 at 20:01 | comment | added | Georges Elencwajg | Thank you, Ian: I was afraid I had overlooked some easy way to put a holomorphic structure on the surface. And, by the way, I love overkill proofs... | |
| Apr 21 at 19:24 | comment | added | Ian Agol | @GeorgesElencwajg : the point of this answer was to give an overkill proof. To find a Riemann structure, you could put a Riemannian metric on it, giving it a conformal structure, then use that oriented conformal structures are equivalent to Riemann surface structure. Or use a pants decomposition to put a hyperbolic metric, hence Riemann surface structure. | |
| Apr 21 at 18:36 | comment | added | Georges Elencwajg | But is there an easy way to see that the surface can indeed be endowed with the structure of a Riemann surface? | |
| Jul 24, 2018 at 3:50 | comment | added | Andy Putman | That’s a hilariously awesome way of doing this! | |
| Jul 24, 2018 at 3:31 | history | answered | Ian Agol | CC BY-SA 4.0 |