Timeline for Explicit homeomorphism between Thurston's compactification of Teichmuller space and the closed disc
Current License: CC BY-SA 3.0
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Dec 29, 2012 at 0:13 | history | edited | Lee Mosher | CC BY-SA 3.0 |
added 1100 characters in body
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| Dec 28, 2012 at 0:25 | comment | added | Bruno Martelli | (continued) It is disappointing however to note that such a global system of coordinates does not seem to "glue nicely" with the Fenchel-Nielsen coordinates for Teichmuller space. Maybe one should consider (as suggested somewhere by Bonahon) all metrics with constant negative curvature (not only -1) to better see the gluing? Thank you for your suggestions. | |
| Dec 28, 2012 at 0:23 | comment | added | Bruno Martelli | I would see Theorem 6.15 from FLP as a global coordinate system; as far as I could understand you can parametrize in a single chart all the measured foliations by adding (as you said) some additional coordinates: for every curve in the pants decomposition you have three coordinates $a_1, a_2, a_3$ lying in the cone where $a_i = a_{i+1} + a_{i+2}$ for some $i$. With this system you capture all the foliations, including those that do not intersect some of the curves. | |
| Dec 27, 2012 at 17:48 | history | answered | Lee Mosher | CC BY-SA 3.0 |