Timeline for Which elements of the fundamental group can be realized as transversals of a taut foliation?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jan 23, 2022 at 9:41 | comment | added | Sam Nead | Ah, I did not understand your definition of "translation". With this definition I think you are precisely correct. :) | |
| Jan 23, 2022 at 2:41 | comment | added | Ian Agol | @SamNead Well, what I meant was that there is a point in the 1-manifold whose translate lies in the same chart (interval). So I wouldn’t count your example as a translation. | |
| Jan 22, 2022 at 21:41 | comment | added | Sam Nead | I think that "transverse iff translation" can't be true in the non-Hausdorff case. This is because the failure of transversality is "local" while having positive translational part is "global". For example, suppose that $A, B, C_t$ are all connected distinct leaves, with the Hausdorff limit of the $C_t$ containing $A \sqcup B$. Then an arc from $A$ to $B$ will never be transverse. | |
| Jan 22, 2022 at 6:58 | history | answered | Ian Agol | CC BY-SA 4.0 |