Lattice cohomology of normal surface singularities

Details Lattice cohomology of normal surface singularities Lattice cohomology of normal surface singularities

2007-09-06

arxiv.org/abs/0709.0841v1

Mathematics

Algebraic Geometry

21 pages

Scientific paper

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 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.

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