JournalsqtVol. 5, No. 1pp. 99–141

On the integrality of the Witten–Reshetikhin–Turaev 3-manifold invariants

  • Anna Beliakova

    University of Zurich

  • Qi Chen

    Winston-Salem State University, USA

  • Thang Le

    Georgia Institute of Technology, Atlanta, USA
On the integrality of the Witten–Reshetikhin–Turaev 3-manifold invariants cover
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Abstract

We prove that the Witten–Reshetikhin–Turaev invariant of any 3-manifold with any colored link inside at any root of unity is an algebraic integer. As a byproduct, we get a new proof of the integrality of the Witten–Reshetikhin–Turaev invariant for any 3-manifold with any colored link inside at any root of unity of odd order.

Cite this article

Anna Beliakova, Qi Chen, Thang Le, On the integrality of the Witten–Reshetikhin–Turaev 3-manifold invariants. Quantum Topol. 5 (2014), no. 1, pp. 99–141

DOI 10.4171/QT/48