Turaev-Viro invariant from the modular double of ${\mathrm{U}}_q\mathfrak{sl}(2;\mathbb{R})$

Tianyue Liu, Shuang Ming, Xin Sun +2

We define a family of Turaev-Viro type invariants of hyperbolic $3$-manifolds with totally geodesic boundary from the $6j$-symbols of the modular double of $\mathrm U_{q}\mathfrak{…