2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65135We report on recent results of the authors concerning calculations of quantum invariants of Seifert 3-manifolds. These results include a derivation of the Reshetikhin-Turaev invariants of all oriented Seifert manifolds associated with an arbitrary complex finite dimensional simple Lie algebra, and a determination of the asymptotic expansions of these invariants for lens spaces. Our results are in agreement with the asymptotic expansion conjecture due to JE Andersen [The Witten invariant of finite order mapping tori I, to appear in J. Reine Angew. Math.] and [The asymptotic expansion conjecture, from `Problems on invariants of knots and 3--manifolds', edited by T. Ohtsuki, http://www.ms.u-tokyo.ac.jp/~tomotada/proj01/].Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper6.abs.htmlGeometric TopologyQuantum Algebra57M27, 17B37, 18D10, 41A60text