2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60055We exhibit tight contact structures on 3-manifolds that do not admit any symplectic fillings.American Institute of Mathematics Preprint Vol. 3 No. 10, minor impovements to the text and citationsGeometric TopologyDifferential Geometry57M50; 53C15text