For 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 Ozsváth and Szabó, 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 of ,  is discussed in the light of this new object.
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András Némethi, Lattice Cohomology of Normal Surface Singularities. Publ. Res. Inst. Math. Sci. 44 (2008), no. 2, pp. 507–543DOI 10.2977/PRIMS/1210167336