Lattice Cohomology of Normal Surface Singularities

  • András Némethi

    Hungarian Academy of Sciences, Budapest, Hungary


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.

Cite this article

András Némethi, Lattice Cohomology of Normal Surface Singularities. Publ. Res. Inst. Math. Sci. 44 (2008), no. 2, pp. 507–543

DOI 10.2977/PRIMS/1210167336