2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77817We develop an invariant of knots that depends on a complex parameter t, describing a left ideal in the noncommutative torus. When the parameter is set equal to -1 we recover the A-polynomial of the knot. We relate the invariant to the colored Jones polynomials of the knot.13 pages, Latex, 3 diagrams, epsfigQuantum AlgebraGeometric TopologyOperator Algebras57M99, 46L87text