Timeline for 3-manifolds with stacked links
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 3, 2021 at 11:50 | comment | added | Gil Kalai | You can, and except for the spheres all these manifolds are not simply connected and have this very simple (handle-like) form (I dont remember how they are called). (This is what I meant by saying "such triangulations are obtained from stacked spheres by the above operation.") But for d=3 I dont know if also other manifolds admit triangulations with linked spheres. | |
| Dec 3, 2021 at 2:17 | comment | added | Ian Agol | why can’t you merge like this in higher dimensions? | |
| Dec 3, 2021 at 1:09 | comment | added | Gil Kalai | Ian, I think that if you start with a stacked triangulation of $S^3$ and merge two far-apart 3-face (and delete them) this might be $S^2 \times S^1$ and you can have more complicated handle bodies like that when you merge more pairs. The question is if those are the only 3-manifolds that admit triangulations with stacked links. | |
| Dec 2, 2021 at 21:44 | comment | added | Ian Agol | Regarding Q2, I think I found a triangulation of S^2xS^1 which admits a triangulation with links of vertices being stacked 2-spheres. | |
| S Dec 2, 2021 at 4:04 | history | bounty ended | CommunityBot | ||
| S Dec 2, 2021 at 4:04 | history | notice removed | CommunityBot | ||
| S Nov 24, 2021 at 2:57 | history | bounty started | Gil Kalai | ||
| S Nov 24, 2021 at 2:57 | history | notice added | Gil Kalai | Draw attention | |
| Nov 20, 2021 at 23:39 | history | asked | Gil Kalai | CC BY-SA 4.0 |