2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171992Some generalizations and variations of the Fintushel-Stern rim surgery are known to produce smoothly knotted surfaces. We show that if the fundamental groups of their complements are cyclic, then these surfaces are topologically unknotted. Using a twist-spinning construction from high-dimensional knot theory, we construct examples of knotted surfaces whose complements have cyclic fundamental groups.Final version; appeared in AMS Transactions. 15 pages, 2 figuresGeometric TopologySymplectic Geometry57R57text