2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167947We prove a finiteness property of the values of the skein polynomial of homogeneous knots which allows to establish large classes of such knots to have arbitrarily unsharp Bennequin inequality (for the Thurston-Bennequin invariant of any of their Legendrian embeddings in the standard contact structure of R^3), and a give a short proof that there are only finitely many among these knots that have given genus and given braid index.7 pagesGeometric TopologySymplectic Geometry57M25 (primary), 53C15, 58A30 (secondary)text