The reshetikhin-turaev tag has no wiki summary.

**12**

votes

**1**answer

269 views

### Why are Witten-Reshetikhin-Turaev invariants expected to be integral?

A Witten-Reshetikhin-Turaev (WRT) Invariant $\tau_{M,L}^G(\xi)\in\mathbb{C}$ is an invariant of closed oriented 3-manifold $M$ containing a framed link $L$, where $G$ is a simple Lie group, and $\xi$ ...

**0**

votes

**0**answers

84 views

### Use of “abstract tensors” for trivalent graphs

Preamble:
For knots, a necessary and sufficient set of "graphic rules" for using Kauffmans abstract tensors was given by Turaev. The lowest dimensional solutions, interpreting these abstract tensors ...

**1**

vote

**0**answers

89 views

### Categorification of WRT invariants of integral homology spheres

First, I would like to know how many definitions are there for categorification of WRT invariants. In addition, I wonder if the categorified version of WRT invariants have been explicitly computed for ...

**6**

votes

**2**answers

300 views

### How do quantum knot invariants change when I pick a funny ribbon element?

So, there's a construction of Reshetikhin and Turaev which extracts knot invariants from ribbon monoidal categories, which are (usually) the representation category a Hopf algebra with a choice of ...

**2**

votes

**3**answers

348 views

### What's the best reference for actual formulas for RT invariants?

If one really wants to understand the formulas for how to construct the Reshetikhin-Turaev 3-manifold invariants coming from quantum groups in terms of R-matrices and such, what's the best reference ...