Timeline for Andreev's Theorem and Thurston's hyperbolization theorem
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 26, 2013 at 7:15 | vote | accept | Don Shanil | ||
| Jul 26, 2013 at 4:22 | comment | added | Don Shanil | (continued)...I guess the question is whether in this case the boundary pattern carries enough information for re-gluing. Thanks again....was just curious whether this could be done...you have more than adequately answered the original question btw:) | |
| Jul 26, 2013 at 4:18 | comment | added | Don Shanil | Thanks Ian, yes this makes sense. Just wondering whether the obstruction you mention is the only known obstruction. For instance if I have a decomposition along hierarchy surfaces that are non-separating (I can do this for example by assumptions on the first homology of the manifold) and postpone cuts by compressing disks till the end, then I think I have a construction where each hierarchy surface is non-separating. I tried this out on closed Haken $3$--manifolds with infinite homology and it seems to work. Thus I end up with a single $3$--ball and all cuts would be visible...(continued) | |
| Jul 25, 2013 at 17:11 | history | answered | Ian Agol | CC BY-SA 3.0 |