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On the Ozsváth-Szabó invariant of negative definite plumbed 3-manifolds. (English) Zbl 1138.57301

Summary: The main goal of the present article is the computation of the Heegaard Floer homology introduced by Ozsváth and Szabó for a family of plumbed rational homology 3 spheres. The main motivation is the study of the Seiberg Witten type invariants of links of normal surface singularities.

MSC:

57M27 Invariants of knots and \(3\)-manifolds (MSC2010)
14Bxx Local theory in algebraic geometry
32Sxx Complex singularities
57R57 Applications of global analysis to structures on manifolds
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