2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215719Let $G$ be the fundamental group of the complement of the torus knot of type $(m,n)$. This has a presentation $G=<x,y|x^m=y^n>$. We find the geometric description of the character variety $X(G)$ of characters of representations of $G$ into $SL(2,C)$.7 pages, 1 figureAlgebraic Geometry14D200; 57M25; 57M27The SL(2,C)-character varieties of torus knotstext