Timeline for Local moduli space of flat metrics of a punctured disk.
Current License: CC BY-SA 3.0
4 events
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Nov 6, 2012 at 17:54 | comment | added | Anton Petrunin | Look at the geodesics in the completion which come from $0$. If points slide along pair of such close geodesics then the $($distance$)^2$ between them is a quadratic polynomial. You may define angle between the geodesics to make this polynomial look like cosine rule. Once it is done you get a polar coordinates in your disc and can talk about total angle. | |
Nov 6, 2012 at 5:57 | comment | added | Axel | Anton, thank you very much, in fact this is quite what I expected. Could you please provide some more detailed argument ( sketch of the proof) or give some references? | |
Nov 6, 2012 at 5:55 | vote | accept | Axel | ||
Nov 5, 2012 at 15:45 | history | answered | Anton Petrunin | CC BY-SA 3.0 |