2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/211972In this paper we present some families of polynomials and use them to find, using the techniques in \cite{gma}, a defining polynomial for the $SL(2,\mathbb{C})$ character variety (as defined in \cite{cus}) of the torus knots of type $(m,2)$ with $m>1$ being an odd integer.Geometric TopologyAlgebraic TopologyRepresentation Theory57M27The $SL(2,\mathbb{C}) character variety ofa class of torus knotstext