2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166301We solve the Jones conjecture, which states that the exponent sum in a minimal braid representation of a knot in S^3 is a knot invariant, by proving a generalized version of the original one. We apply contact geometry to study this problem in knot theory.11 pages, 11 figuresGeometric TopologySymplectic Geometry57M25; 57R17text