2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74776This is an expository paper discussing some parallels between the Khovanov and knot Floer homologies. We describe the formal similarities between the theories and give some examples which illustrate a somewhat mysterious correspondence between them.19 pages. To appear in proceedings of the Fields Institute/McMaster Conference on Geometry and Topology of ManifoldsGeometric Topology57M25; 57R58Knot polynomials and knot homologiestext