Open AccessOn the integrality of the Witten–Reshetikhin–Turaev 3-manifold invariants
Author(s) -
Anna Beliakova,
Qi Chen,
Thang T. Q. Lê
Publication year - 2014
Publication title -
quantum topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.763
H-Index - 16
eISSN - 1663-487X
pISSN - 1664-073X
DOI - 10.4171/qt/48
Subject(s) - mathematics , manifold (fluid mechanics) , pure mathematics , 3 manifold , algebra over a field , mechanical engineering , engineering
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
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