Timeline for Higher homotopy groups of slice disk complement
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 6, 2012 at 14:09 | vote | accept | Aru Ray | ||
| Feb 2, 2012 at 3:17 | comment | added | Aru Ray | oops, my bad, I meant the the zero surgery on the knot $M_K$ is not aspherical for a trivial knot - if I've thought this through correctly, the zero surgery on the trivial knot is $\mathbb{S}^2x\mathbb{S}^1$ | |
| Feb 2, 2012 at 2:54 | comment | added | Autumn Kent | @Arunima Ray: If $K$ is trivial, its complement is an open solid torus, which is aspherical. | |
| Feb 2, 2012 at 2:26 | comment | added | Ryan Budney | You can also do a boundary connect-sum of two slice discs, that would give the connect sum of the two slice knots on the boundary. | |
| Feb 2, 2012 at 2:00 | comment | added | Aru Ray | Ah, I wanted $K$ to be non-trivial since I believe that $\mathbb{S}^3-K$ is aspherical only for non-trivial knots. | |
| Feb 1, 2012 at 23:54 | comment | added | Ryan Budney | I don't think the non-triviality of $K$ has much impact on your question. For example, connect-sum any slice disc with a $2$-knot such as a Cappell-Shaneson knot. | |
| Feb 1, 2012 at 22:56 | history | edited | Aru Ray | CC BY-SA 3.0 |
edited body
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| Feb 1, 2012 at 22:06 | answer | added | Autumn Kent | timeline score: 10 | |
| Feb 1, 2012 at 21:57 | answer | added | Ryan Budney | timeline score: 10 | |
| Feb 1, 2012 at 21:45 | history | asked | Aru Ray | CC BY-SA 3.0 |