Knot Floer homology and integer surgeries

Ozsváth, Peter¹ ; Szabó, Zoltán²

¹Department of Mathematics, Columbia University, New York 1002, USA
²Department of Mathematics, Princeton University, New Jersey 08544, USA

Algebraic and Geometric Topology, Tome 8 (2008) no. 1, pp. 101-153

Résumé

Let Y be a closed three-manifold with trivial first homology, and let K ⊂ Y be a knot. 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 of these techniques, we calculate the Heegaard Floer homology groups of non-trivial circle bundles over Riemann surfaces (with coefficients in ℤ∕2ℤ).

Détail

DOI : 10.2140/agt.2008.8.101

Keywords: knot Floer homology, surgery theory

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