2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126169The article surveys aspects of the Fourier-Mukai transform, its relative version and some of its applications in string theory. To appear in Encyclopedia of Mathematical Physics, published by Elsevier in early 2006. Comments/corrections welcome.18 pages, latex, referencing followed the instructions of the publisherHigh Energy Physics - Theorytext