Abstract
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 [16], [13] is discussed in the light of this new object.
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