Timeline for Unknotting tunnels in surface bundles
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 29, 2022 at 7:30 | comment | added | David Roberts♦ | The link in Ian's comment is broken, here's a replacement: arxiv.org/abs/math/0607513 | |
| Mar 31, 2011 at 13:13 | vote | accept | b b | ||
| Oct 5, 2010 at 4:24 | answer | added | Ian Agol | timeline score: 1 | |
| Oct 4, 2010 at 19:16 | answer | added | Sam Nead | timeline score: 1 | |
| Oct 4, 2010 at 16:13 | comment | added | Ian Agol | I think this result should generalize to fibered manifolds of higher genus, using methods of Jesse Johnson (who obtained a classification in the closed case): front.math.ucdavis.edu/0607.5513 Alternatively, one may analyze how a compressing disk crosses over the tunnel, and use it to simplify the intersections of the tunnel with the fiber so that it is disjoint. Then an outermost disk gives an isotopy of the tunnel onto the fiber. Another outermost disk shows one may find a disjoint representative on the fiber after applying $\phi$. | |
| Oct 4, 2010 at 15:48 | history | asked | b b | CC BY-SA 2.5 |