Timeline for Strata of quadratic differentials from rational billiards
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 25, 2012 at 20:06 | vote | accept | Alex Becker | ||
| Jul 24, 2012 at 22:08 | history | edited | Alex Becker | CC BY-SA 3.0 |
summarized in body
|
| Jul 24, 2012 at 20:59 | comment | added | Alex Becker | Yes, I guess I need to be more precise. I reflect the polygon $P$ in the complex plane and then identify $z\in\mathbb C$ with $z+b$ so long as the map $w\mapsto w+b$ carries edges of $P$ to the same edges on a different copy. | |
| Jul 24, 2012 at 20:20 | answer | added | Matheus | timeline score: 3 | |
| Jul 24, 2012 at 19:34 | comment | added | Lee Mosher | You say $P$ "gives rise to a compact Riemann surface by reflecting P in the complex plane across each side repeatedly and identifying parallel sides", but that is not enough information. The same description could apply to some finite cover of the Riemann surface, in which case the description of the stratum would have different numbers of repetitions of the angles that parameterize the stratum, or even to a finite branched cover in which you would have different angles altogether. | |
| Jul 24, 2012 at 18:26 | history | edited | Alex Becker | CC BY-SA 3.0 |
deleted 2 characters in body
|
| Jul 24, 2012 at 16:53 | history | asked | Alex Becker | CC BY-SA 3.0 |