2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64384Given a group G, we use involutary Hopf G-coalgebras to define a scalar invariant of flat G-bundles over 3-manifolds. When G=1, this invariant equals to the one of 3-manifolds constructed by Kuperberg from involutary Hopf algebras. We give examples which show that this invariant is not trivial.26 pagesGeometric TopologyQuantum Algebra57R10; 57M27; 16W30text