Timeline for SO(3) knot polynomials
Current License: CC BY-SA 2.5
5 events
when toggle format | what | by | license | comment | |
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Apr 19, 2010 at 19:47 | vote | accept | Sam Lewallen | ||
Apr 19, 2010 at 2:41 | comment | added | Noah Snyder | No, didn't edit. | |
Apr 19, 2010 at 2:33 | comment | added | Charlie Frohman | But I guess you said that. Did you edit or something? | |
Apr 19, 2010 at 2:32 | comment | added | Charlie Frohman | When people talk about G' theory where G is the universal cover of G' they mean that when you are coloring the link with a representation you only allow representations that descend to G'. Hence the SO(3) polynomial could be the colored Jones polynomial where you only use the second Jones-Wenzl idempotent, because that corresponds to the fundamental representation of SO(3). It makes more of a difference if you talk about links in manifolds rather than in SO(3), because the projectors are different. $_qSO(3)\neq _qSL_2$ even though $U_q(sl_2)=U_q(so(3))$. | |
Apr 19, 2010 at 2:19 | history | answered | Noah Snyder | CC BY-SA 2.5 |