2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63393The notion of holonomy $R$-matrices is introduced. It is shown how to define invariants of tangles with flat connections in a principle $G$-bundle of the complement of a tangle using holonomy $R$-matrices.Algebraic TopologyInvariants of tangles with flat connections in their complements.I. Invariants and holonomy R-matricestext