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](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-qt-volume-11-issue-4.png&w=3840&q=90)
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