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A Hennings type invariant of $3$-manifolds from a topological Hopf superalgebra (1806.08277v1)
Published 21 Jun 2018 in math.QA and math.GT
Abstract: We prove the unrolled superalgebra $\mathcal{U}_{\xi}{H}\mathfrak{sl}(2|1)$ has a completion which is a ribbon superalgebra in a topological sense where $\xi$ is a root of unity of odd order. Using this ribbon superalgebra we construct its universal invariant of links. We use it to construct an invariant of $3$-manifolds of Hennings type.