Timeline for teichmuller geodesics and hyperbolic mapping torus
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 6, 2015 at 13:13 | comment | added | Sam Nead | Lee - as you suspected, no uniform estimate can exist. See my answer for a family of examples (which also cover the WP metric.) | |
| Mar 22, 2012 at 16:59 | comment | added | Lee Mosher | @shurtados: This is hard to answer without knowing what geometric information you are particularly looking for. But, what I was thinking of in the 1st paragraph of my answer is the standard description of Teichmuller geodesics, and the corresponding conformal structures and singular Euclidean metrics, which can be found in Farb Margalit, "A primer on mapping class groups". I am also fond of Abikoff's little book "The real analytic theory of Teichmuller space". Descriptions in terms of hyperbolic structures are implicit from the uniformization theorem, but are much harder to see directly. | |
| Mar 19, 2012 at 6:15 | comment | added | shurtados | Thanks a lot for your answer, I really appreciate it, do you know where can I find a reference describing how all the surface in the geodesic between two points in teichmuller space $X$ and $Y$ are going to look geometrically, depending in how $X$ and $Y$ look like geometrically? | |
| Mar 19, 2012 at 5:21 | vote | accept | shurtados | ||
| Mar 9, 2012 at 3:06 | history | answered | Lee Mosher | CC BY-SA 3.0 |