2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71922Minimal tori that are linearly full in the 3-sphere possess a natural invariant g called their spectral genus, which was introduced by Hitchin. We show that for each g>0, there are countably many real g-dimensional families of minimally immersed tori with spectral genus g (two of these dimensions are just reparametrisations of the torus). Each family maps from a fixed torus of rectangular conformal type.49 pages, 7 figues, PhD ThesisDifferential GeometryAlgebraic Geometry14H70;37K25;53C42On the Existence of Minimal Tori in $S^3$ of Arbitrary Spectral Genustext