Knot Floer homology and integer surgeries

Details Knot Floer homology and integer surgeries Knot Floer homology and integer surgeries

2004-10-12

arxiv.org/abs/math/0410300v2

Mathematics

Geometric Topology

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Scientific paper

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.

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