2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71384We give a self-contained introduction to the theory of Turaev's shadows as a tool to study 3 and 4-manifolds. The goal of the present paper twofold: on one side it is intended to be a shortcut to a basic use of the theory of shadows, on the other side it gives a sketchy overview of some of the recent results on shadows. No original result is proved here and most of the details of the proofs are not included.19 pages, 8 figures. Revised version, to appear in Fundamenta MathematicaeGeometric Topology57M50; 57N99text