2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70544In this article we provide an infinite family of weakly symplectically fillable contact structures with trivial Ozsvath-Szabo contact invariants over Z/2Z. As a consequence of this fact, we show how Heegaard-Floer theory can distinguish between weakly and strongly fillable contact structures.An introductory section on Heegaard-Floer theory has been added, the vanishing result has been improved to cover an infinite family of weakly simplectically fillable contact structuresGeometric TopologySymplectic Geometrytext