2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137260We consider the problem when lens spaces are given from homology spheres, and demonstrate that many lens spaces are obtained from L-space homology sphere which the Ozsváth Szabó's correction term $d(Y)$ is equal to 2. We show an inequality of slope and genus when $Y$ is L-space and $Y_p(K)$ is lens space.11 pages, 2 tables, 2 figuresGeometric Topology57M25,57M27,57R58text