2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152585A new, formal, non-combinatorial approach to invariants of three-dimensional manifolds of Reshetikhin, Turaev and Witten in the framework of non-perturbative topological quantum Chern-Simons theory, corresponding to an arbitrary compact simple Lie group, is presented. A direct implementation of surgery instructions in the context of quantum field theory is proposed. An explicit form of the specialization of the invariant to the group SU(2) is derived.7 pages, plaintex using macro DEGMACS.TEX of de Gruyter Publ. Co., submitted to Proc. of the 2nd Gauss Symposium, supported by AvH and KBNHigh Energy Physics - TheoryQuantum Algebratext