A Hennings type invariant of 3-manifolds from a topological Hopf superalgebra

  • Ngoc Phu Ha

    Hung Vuong University, Viet Tri, Vietnam and Université de Bretagne Sud, Vannes, France
A Hennings type invariant of 3-manifolds from a topological Hopf superalgebra cover

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Abstract

We prove the unrolled superalgebra has a completion which is a ribbon Hopf superalgebra in a topological sense where is a root of unity of odd order. Using this ribbon Hopf superalgebra we construct its universal invariant of links. We use it to construct an invariant of 3-manifolds endowed with a first cohomology class of Hennings type.

Cite this article

Ngoc Phu Ha, A Hennings type invariant of 3-manifolds from a topological Hopf superalgebra. Quantum Topol. 11 (2020), no. 4, pp. 609–655

DOI 10.4171/QT/142