Timeline for Is a positive link the closure of a positive braid?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Aug 29, 2017 at 3:52 | comment | added | Ian Agol | There are positive knots which are not fibered, whereas positive braids are fibered. So one couldn't possibly put a positive non-fibered knot into positive braid position. | |
| Oct 15, 2010 at 18:54 | vote | accept | Sammy Black | ||
| Oct 15, 2010 at 5:17 | answer | added | Ian Agol | timeline score: 5 | |
| Oct 15, 2010 at 3:03 | comment | added | Ben Webster♦ | I don't think any of the algorithms obviously preserve positivity. Vogel's algorithm (which I think is what you're referring to) does a lot of Reidemeister II's, which always destroys positivity. I think if there's any pair of incoherently oriented Seifert circles, Vogel's algorithm will give a non-positive result. That said, I don't know of an obvious counter-example. | |
| Oct 15, 2010 at 0:22 | history | asked | Sammy Black | CC BY-SA 2.5 |