Timeline for Generalizations of the handle trading techniques
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 10, 2016 at 6:21 | vote | accept | Shinichiro Nakamura | ||
| Jul 10, 2016 at 5:25 | comment | added | Shinichiro Nakamura | @Ebert Thank you for your helpful comments. As Wall remark in the paper, if one assume that $W$ is 1-connected, then the theorem can be deduced from a proof of the h-cobordism theorem in Milnor's book. I am completely convinced, thanks! | |
| Jun 20, 2016 at 7:54 | comment | added | Johannes Ebert | @snamth: Wall's paper contains half of the proof of the h-cobordism theorem. If $W$ is an h-cobordism, use Wall's theorem to find a handlebody decomposition with only handles of two consecutive indices. Then cancel those using the Whitney trick, where you have to use that the manifolds are simply connected. | |
| Jun 19, 2016 at 12:01 | comment | added | Shinichiro Nakamura | @Ebert Thanks a lot. Now I am reading this elegant paper and following the proofs. I will carefully compare this theorem with the h-cobordism theorem. | |
| Jun 17, 2016 at 13:28 | history | answered | Johannes Ebert | CC BY-SA 3.0 |