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

Abstract

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.

arXiv comment27 pages, LaTeX2e; the text has been changed in order to improve the exposition

References in corpus (5)

• A Contribution of the Trivial Connection to Jones Polynomial and Witten's Invariant of 3d Manifolds I
• A Large k Asymptotics of Witten's Invariant of Seifert Manifolds
• Witten's Invariants of Rational Homology Spheres at Prime Values of $K$ and Trivial Connection Contribution
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Cited by in corpus (2)

• Fivebranes and 3-manifold homology
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