Timeline for SO(3) knot polynomials
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Apr 19, 2010 at 1:47 | comment | added | José Figueroa-O'Farrill | No, it's me who's sorry -- I misunderstood the question. I'll leave it just in case, but have added some explanation of why it's not relevant. | |
| Apr 19, 2010 at 1:45 | history | edited | José Figueroa-O'Farrill | CC BY-SA 2.5 |
added 258 characters in body
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| Apr 19, 2010 at 1:10 | comment | added | Sam Lewallen | Sorry, by "associated" to $\mathfrak{so}(3)$ I meant via the R-matrix set-up. From this point of view, the Jones polynomial is associated to $\mathfrak{sl}(2,\mathbb{C})$ which makes sense given Witten's recent paper (the R-matrix invariants are automatically polynomials, for knots in $S^3$. Wittens invariants for $SU(2)$ are not, they're functions of a real parameter. To make the parameter complex, you have to explore the full complex group $G_\mathbb{C}$). But I did find out that there are $\mathfrak{so(3)}$ invariants, albeit a little obscure, via a paper of Noah Snyder et al. Thanks! | |
| Apr 18, 2010 at 23:08 | history | answered | José Figueroa-O'Farrill | CC BY-SA 2.5 |