A simple proof of integrality of quantum invariants at prime roots of unity (1997)
by
G. Masbaum
,
J. D. Roberts
| Venue: | Math. Proc. Cambridge Phil. Soc |
| Citations: | 36 - 3 self |
BibTeX
@ARTICLE{Masbaum97asimple,
author = {G. Masbaum and J. D. Roberts},
title = {A simple proof of integrality of quantum invariants at prime roots of unity},
journal = {Math. Proc. Cambridge Phil. Soc},
year = {1997},
volume = {121},
pages = {443--454}
}
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Abstract
Abstract Recently, Hitoshi Murakami has shown that the quantum SU (2)- and SO(3)- invariants of 3-manifolds at roots of unity of prime order are algebraic integers. Unfortunately, his proof is by a very complicated computation. Here, a quite different and very simple proof is presented, based on the second author's method to show that the Turaev-Viro invariant is the square of the modulus of the ReshetikhinTuraev invariant.
