On p-adic propreties of the Witten-Reshetikhin-Turaev invariant

Details On p-adic propreties of the Witten-Reshetikhin-Turaev invariant On p-adic propreties of the Witten-Reshetikhin-Turaev invariant

1998-06-12

arxiv.org/abs/math/9806075v2

Mathematics

Quantum Algebra

27 pages, LaTeX2e; the text has been changed in order to improve the exposition

Scientific paper

We use the properties of the Melvin-Morton expansion of the colored Jones
polynomial in order to prove that the trivial connection contribution converges
p-adicly to the SO(3) Witten-Reshetikhin-Turaev invariant of rational homology
spheres, as it was conjectured by R. Lawrence.

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