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 T. Q. Lê

    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 SU(2) 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 SO(3) 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 T. Q. Lê, 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