Timeline for Canonically representing the monodromy of a hyperbolic manifold fibered over $S^1$
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Mar 27, 2023 at 19:31 | comment | added | Moishe Kohan | I think DE extension is area preserving. | |
| Mar 27, 2023 at 19:29 | comment | added | Moishe Kohan | Check "Primer on mapping class group" by Farb and Margalit. | |
| Mar 27, 2023 at 18:00 | comment | added | Julian Chaidez | (3) Also any basic references on this material would be amazing :) I'm very much a novice in these things :) Thank you! | |
| Mar 27, 2023 at 17:59 | comment | added | Julian Chaidez | (2) Is it possible to make the map area preserving? I'm not sure if this is a property of the Douady-Earle extension. I noticed this paper: arxiv.org/abs/0911.4124 which gives a different extension with this property. | |
| Mar 27, 2023 at 17:50 | comment | added | Julian Chaidez | This is an excellent answer. A few follow up questions (1) is the homeomorphism of the ideal boundary of $\mathbb{H}$ determined canonically by the mapping class? Or are you suggesting to first take the usual non-smooth representative of $\phi$ and then to extend its action on the boundary? | |
| Mar 24, 2023 at 3:17 | history | edited | Moishe Kohan | CC BY-SA 4.0 |
added 64 characters in body
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| Mar 24, 2023 at 1:24 | history | answered | Moishe Kohan | CC BY-SA 4.0 |