2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77039We 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.27 pages, LaTeX2e; the text has been changed in order to improve the expositionQuantum Algebra57M25text