English

Knot Floer homology and integer surgeries

Geometric Topology 2007-12-08 v2 Symplectic Geometry

Abstract

Let KK be a null-homologous knot in a three-manifold YY. We give a description of the Heegaard Floer homology of integer surgeries on YY along KK in terms of the filtered homotopy type of the knot invariant for KK. As an illustration, we calculate the Heegaard Floer homology groups of non-trivial circle bundles over Riemann surfaces.

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Cite

@article{arxiv.math/0410300,
  title  = {Knot Floer homology and integer surgeries},
  author = {Peter Ozsvath and Zoltan Szabo},
  journal= {arXiv preprint arXiv:math/0410300},
  year   = {2007}
}

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