Timeline for Kontsevich Integral without associators?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 24, 2012 at 18:10 | comment | added | MTS | I know this is nitpicky, however: $U_q(\mathfrak{g})$ is not a quasitriangular Hopf algebra in the true sense since the R-matrix does not live in the algebraic tensor product $U_q(\mathfrak{g}) \otimes U_q(\mathfrak{g})$. Of course the R-matrix acts in tensor products of finite-dimensional representations, and this gives the braiding, etc. But I think it pays to be careful about how one refers these things. | |
| Mar 12, 2012 at 14:40 | comment | added | Daniel Moskovich | You might also be interested in Dancso's paper, which avoids the use of associators in the construction of a universal invariant (it's written for KTG's, but they replace q-tangles, and seem like a better formalism), and is quite elegant: arxiv.org/abs/0811.4615 | |
| Nov 12, 2011 at 4:29 | vote | accept | John Pardon | ||
| Oct 18, 2011 at 22:36 | answer | added | Adrien | timeline score: 10 | |
| Oct 18, 2011 at 22:16 | comment | added | Jim Conant | This seems highly unlikely to me. My approach to rule it out would be to look at simple knot and link diagrams to constrain what the chord-diagram valued R-matrix could possibly be. | |
| Oct 18, 2011 at 22:02 | history | asked | John Pardon | CC BY-SA 3.0 |