Timeline for Euclidean surfaces with conical singularities and cusped hyperbolic surfaces
Current License: CC BY-SA 3.0
7 events
when toggle format | what | by | license | comment | |
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Sep 24, 2013 at 9:18 | comment | added | Elbabak | The interest of using Klein's model is precisely to avoid to explain this (see [BPS])! But it is not so difficult to guess what are the shear coordinates in Poincaré's model $\mathbb D$. For any 2-face (euclidean triangle) $T$ of ${\cal D}(S,g)$, one associates an ideal triangle $h(T)$ in $\mathbb D$. Given two adjacent such triangles $T_1=ABC$ and $T_2=ABD$ on the surface, one defines $r(T_1,T_2)=\log(\lvert AC\lvert \lvert BD\lvert/\lvert BC \lvert \lvert AD \lvert )$. It is the shear coordinate used in [R] to glue together $h(T_1)$ and $h(T_2)$. | |
Sep 24, 2013 at 9:05 | vote | accept | Elbabak | ||
Sep 23, 2013 at 14:35 | answer | added | Igor Rivin | timeline score: 3 | |
Sep 23, 2013 at 14:19 | comment | added | Jean Raimbault | How exactly do you choose the shear coordinates used for the gluing? (I will readily admit I am too lazy to go to the original reference to find it out.) | |
Sep 23, 2013 at 13:17 | review | First posts | |||
Sep 23, 2013 at 13:32 | |||||
Sep 23, 2013 at 13:05 | history | edited | Elbabak | CC BY-SA 3.0 |
deleted 2 characters in body
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Sep 23, 2013 at 12:58 | history | asked | Elbabak | CC BY-SA 3.0 |