${\mathrm{U}}_{q\tilde{q}}\mathfrak{sl}(2;\mathbb{R})$ Turaev-Viro invariants for cusped $3$-manifolds

Tianyue Liu, Shuang Ming, Xin Sun +2

We define a family of Turaev-Viro type invariants for hyperbolic $3$-manifolds with cusp ends, extending the invariants introduced in \cite{LMSWY} for hyperbolic $3$-manifolds with…