Timeline for Utility of virtual knot theory?
Current License: CC BY-SA 2.5
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| Jun 7, 2012 at 0:28 | comment | added | Dylan Thurston | This is a good answer, but it's worth noting that your theorem relies on the Reidemeister I move being true locally. This relation does not hold for the R-matrices from quantum groups, so you don't actually get invariants of virtual knots in the way you sketch in your answer, but rather virtual knots up to isotopy. I'm not aware of a uniqueness or classification result in this context. | |
| Jan 18, 2011 at 22:49 | history | answered | Greg Kuperberg | CC BY-SA 2.5 |