2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154774Given a crossing in a planar diagram of a link in the three-sphere, we show that the knot Floer homologies of the link and its two resolutions at that crossing are related by an exact triangle. As a consequence, we deduce that for any quasi-alternating knot, the total rank of its knot Floer homology is equal to the determinant of the knot.13 pages, 10 figures; 9_46 dropped from the list of quasi-alternating knotsGeometric TopologySymplectic Geometry57M25; 57M27; 57R58text