Timeline for motivation of surgery
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
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| Oct 2, 2011 at 19:09 | history | edited | Kelly Davis |
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| Oct 2, 2011 at 13:53 | answer | added | Daniel Moskovich | timeline score: 2 | |
| Oct 2, 2011 at 6:40 | comment | added | Elizabeth S. Q. Goodman | I just read another paper of Milnor and Kervaire, "groups of homotopy spheres." In it they talk about surgery, only they call it "spherical modification", so I think it is early in the discussion. It is also highly enlightening because it shows the best set of algebraic-topological arguments about surgery that allowed one to compute cobordism groups. I'm not sure what the question is though. OP, I second Theo's comment: could you please articulate what you are asking and what you have been thinking in separate sentences? | |
| Apr 17, 2010 at 22:41 | answer | added | Andrew Ranicki | timeline score: 10 | |
| Mar 16, 2010 at 21:18 | comment | added | Scott Carter | @Theo, to whom is your comment directed? In my comment, "Yellow" should be lower case. The phrase "sorry I forgot the name" should be enclosed in parenthesis. The phrase "handles attached --- and consider [...]" should be "handles attached. Consider [...]" I think you have enough points to edit the original question:-) | |
| Mar 16, 2010 at 16:04 | comment | added | Theo Johnson-Freyd | Please improve punctuation and capitalization. | |
| Mar 16, 2010 at 13:22 | comment | added | Scott Carter | Some help may be gained by looking at Milnor's "Lectures on the h-cobordism theorem," in the Princeton Yellow series. Also look at Fenn Rourke and Sanderson's book --- sorry I forgot the name. Finally, try to compare what is going on using surfaces with boundary --- disks with handles attached --- and consider $3$-manifolds, their Morse functions, and their non-critical levels. Favorite examples include lens spaces. One has to be meticulous about the parametrizations. FRS introduce the belt sphere, the attaching sphere, the core disk and the co-core disk. All of these ideas help! | |
| Mar 16, 2010 at 11:38 | answer | added | Petya | timeline score: 7 | |
| Mar 16, 2010 at 11:25 | history | asked | student | CC BY-SA 2.5 |