Let K be a null-homologous knot in a three-manifold Y. We give a description of the Heegaard Floer homology of integer surgeries on Y along K in terms of the filtered homotopy type of the knot invariant for K. As an illustration, we calculate the Heegaard Floer homology groups of non-trivial circle bundles over Riemann surfaces. 1.
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Ozsváth et al. (2008) studied this question.
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