Timeline for Unknotting knots in 4D
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 25, 2012 at 18:42 | vote | accept | Joseph O'Rourke | ||
| Jan 25, 2012 at 18:41 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Q1 answered.
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| Jan 25, 2012 at 2:31 | comment | added | Oliver | Regarding the question in your preamble, I think the unknotting number of $K$ could be thought of as a measure of "how many "moves" are needed to unravel $K$ using the 4th dimension". | |
| Jan 25, 2012 at 1:22 | answer | added | Ian Agol | timeline score: 3 | |
| Jan 24, 2012 at 23:17 | answer | added | Ryan Budney | timeline score: 4 | |
| Jan 24, 2012 at 22:31 | comment | added | Gerhard Paseman | One has to exercise some care: if "there isn't room" on the other side of the linkage for the subchain, then there might be problems. For sufficiently loose knots, any crossing should be invertible with the aid of the 4th dimension by tweaking just one strand. If you need two strands to switch places, send one to the positive half space and the other to the negative half space and reposition there. I suspect less than 2n moves are needed where n is the number of crossings. Gerhard "Ask Me About System Design" Paseman, 2012.01.24 | |
| Jan 24, 2012 at 21:48 | history | asked | Joseph O'Rourke | CC BY-SA 3.0 |