Non-semisimple topological field theory and $\hat{Z}$-invariants from $\mathfrak{osp}(1|2)$

Francesco Costantino, Matthew Harper, Adam Robertson +1

We construct three-dimensional non-semisimple topological field theories from the unrolled quantum group of the Lie superalgebra $\mathfrak{osp}(1|2)$. More precisely, the qu…