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Apr 18, 2014 at 16:19 comment added Marcel Bischoff I am wondering why noone mentioned that if $\mathcal C$ is the Drinf'ld center $Z(\mathcal F)$ of a fusion category $\mathcal F$ then the TV construction applied to $\mathcal F$ does the job. For sure this does just works for certain MTCs (the trivial Witt class?!?).
Dec 12, 2012 at 21:13 answer added Ricardo Machado timeline score: 3
Jun 22, 2011 at 21:50 comment added Kevin Walker If you let the 3-manifold bound a 4-manifold and extend the triangulation, it's not an open problem. A version of the Crane-Yetter state sum calculates the WRT invariant in that case. See my answer below.
Jun 22, 2011 at 21:46 answer added Kevin Walker timeline score: 14
Jun 22, 2011 at 20:37 answer added André Henriques timeline score: 4
Jun 22, 2011 at 10:33 comment added Daniel Moskovich This is a well-known open problem. (minor point: you can go algorithmically from surgery presentations to triangulations, but not the other way so easily).
Jun 22, 2011 at 3:34 history asked John Pardon CC BY-SA 3.0