2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137437For any negative definite plumbed 3-manifold M we construct from its plumbed graph a graded Z[U]-module. This, for rational homology spheres, conjecturally equals the Heegaard-Floer homology of Ozsvath and Szabo, but it has even more structure. If M is a complex singularity link then the normalized Euler-characteristic can be compared with the analytic invariants. The Seiberg--Witten Invariant Conjecture is discussed in the light of this new object.21 pagesAlgebraic GeometryGeometric Topology14B05, 14J17, 32S25, 57M27, 57R57Lattice cohomology of normal surface singularitiestext