2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157230We show that the Vassiliev invariants of a knot K, are obstructions to finding a regular Seifert surface, S, whose complement looks "simple" (e.g. like the complement of a disc) to the lower central series of its fundamental group.35 pages, 13 Figures. To appear in the J. of Knot Theory and its Ramifications (special volume in honor of L. Kauffman)Geometric TopologyQuantum Algebra57M25, 57N10text