Timeline for Can a smooth domain in a sphere be a homology ball without being contractible?
Current License: CC BY-SA 4.0
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| Oct 27, 2021 at 23:13 | history | edited | Anubhav Mukherjee | CC BY-SA 4.0 |
added 2 characters in body
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| Oct 26, 2021 at 23:15 | vote | accept | RBega2 | ||
| Oct 26, 2021 at 22:04 | comment | added | Ryan Budney | And you have a nice answer. I think this Zeeman theorem isn't as well known as it should be. It gives a clean prescription for how to smoothly embed once-punctured 3-manifolds in $S^4$, in terms of the standard language of 3-manifold theory and their automorphism groups. There is a follow-up theorem of Litherland's that extends Zeeman's construction maximally. | |
| Oct 26, 2021 at 22:02 | comment | added | Anubhav Mukherjee | Hi Ryan, thanks for the reference. That's a good explanation. I think I am not very good in visualizing knots and (personally) try to viasualize in terms of Kirby calculus. | |
| Oct 26, 2021 at 21:58 | comment | added | Ryan Budney | The embedding of the punctured Poincare dodecahedral space in S^4 comes as a Seifert surface for a spun knot. That's how I like to think about it. I believe it should be the 5-twist spin of the trefoil. maths.ed.ac.uk/~v1ranick/papers/zeemantwist.pdf | |
| Oct 26, 2021 at 21:49 | history | answered | Anubhav Mukherjee | CC BY-SA 4.0 |