Jones(unlink)=phi - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T06:26:53Z http://mathoverflow.net/feeds/question/94624 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/94624/jonesunlinkphi Jones(unlink)=phi Hauke Reddmann 2012-04-20T11:15:12Z 2012-05-28T16:20:33Z <p>Somewhat nebulous question: there are many well known "special" values of the Jones polynomial, especially those at roots of unity. I always run into one that has unlink value $\phi$ (golden mean) and writhe factor $(-1)^{1/5}$. Is there something special about it (maybe it's "at the intersection" of the Lie groups A1 and G2 or whatnot)?</p> http://mathoverflow.net/questions/94624/jonesunlinkphi/98202#98202 Answer by Noah Snyder for Jones(unlink)=phi Noah Snyder 2012-05-28T16:20:33Z 2012-05-28T16:20:33Z <p>In some sense this is the smallest possible quantum group, so it's perhaps not surprising that it comes up often. In fact, if you have only 2 objects, then there are very few possibilities, see Ostrik's paper <a href="http://arxiv.org/abs/math/0203255" rel="nofollow">http://arxiv.org/abs/math/0203255</a>.</p>