  In this article we construct link invariants and 3-manifold invariants from
the quantum group associated with Lie superalgebra $\mathfrak{sl}(2|1)$. This
construction based on nilpotent irreducible finite dimensional representations
of quantum group $\mathcal{U}_{\xi}\mathfrak{sl}(2|1)$ where $\xi$ is a root of
unity of odd order. These constructions use the notion of modified trace and
relative $\mathit{G}$-modular category.
