Timeline for Converse to Wolpert's Lemma
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 11, 2022 at 17:10 | comment | added | Dylan Thurston | Are you sure you can't tweak it? This situation with thin curves is also the place you see that the stretch metric is very asymmetric, and I believe also should show you that the symmetrized stretch metric is different from the standard Teichmüller metric. (Also, I think the $C^1$ hypothesis is harmless, you only need to drop it if you want actual extremizers.) | |
| Apr 11, 2022 at 16:03 | comment | added | Alex Nolte | @DylanThurston It won't -- this is very much a construction of a bad representative of the isotopy class. One will need to drop the $C^1$ hypothesis to work with extremizers, but after doing so this becomes an interesting question of asymptotic comparison of Teichmuller's metric and W. Thurston's asymmetric metric. | |
| Apr 11, 2022 at 12:28 | comment | added | Dylan Thurston | Does your contstruction work if one looks at the homotopy class of $f_\delta$, as the question probably should have asked? | |
| Apr 10, 2022 at 20:50 | history | answered | Alex Nolte | CC BY-SA 4.0 |