2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70366We show that a certain involution on the well known homology sphere (the boundary of the Mazur manifold) induces a nontrivial homomorphism on its Heegard-Floer homology groups (recently defined by Ozsvath and Szabo). We discuss a possible application of this to constructing exotic smooth structures on 4-manifolds.10 pages, 8 figuresGeometric TopologySymplectic Geometry57R55, 57R65, 57R17, 57M50An involution acting nontrivially on Heegard-Floer homologytext