2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71174We discuss several open problems in classical Knot Theory and we develop techniques that allow us to study them: Lagrangian tangles, skein modules and Burnside groups.59 pages, 64 figures, Proceedings of the workshop New Techniques in Topological Quantum Field Theory; Calgary/Kananaskis, August 22-27, 2001, Kluwer Academic Publisher, 2004, to appearGeometric TopologyOperator Algebras57M25 (Primary) 57M27, 20D99 (Secondary)From 3-moves to Lagrangian tangles and cubic skein modulestext