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We prove that the SU(2) and SO(3) Witten-Reshetikhin-Turaev invariants of any 3-manifold with any colored link inside at any root of unity are algebraic integers.
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G. Masbaum and H. Wenzl, Integral modular categories and integrality of quantum invariants at roots of unity of prime order
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A. Beliakova, I. Bühler and T. Le, A unified quantum SO(3) invariant for rational homology 3-spheres
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K. Habiro and T. Le, in preparation
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A. Beliakova, C. Blanchet and T. Le, Unified quantum invariants and their refinements for homology 3-spheres with 2-torsion
2008
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2008
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2008
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