2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149525We derive an analog of Melvin-Morton bound on the power series expansion of Jones polynomial of algebraically split links and boundary links. This allows us to produce a simple formula for the trivial connection contribution to Witten's invariant of rational homology spheres. We show that the n-th term in the 1/K expansion of the logarithm of this contribution is a finite type invariant of Ohtsuki order 3n and of at most Garoufalidis order n. This result is a manifold counterpart of the statement that n-th derivative of the Jones polynomial is Vassiliev's invariant of order n.38 pages, 6 figures, LaTeX. Some results about loop corrections to invariants of manifolds as Vassiliev invariants of knots are added to subsection 2.2Quantum AlgebraHigh Energy Physics - Theorytext