Volume 8, issue 1 (2008)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Knot Floer homology and integer surgeries

Peter S Ozsváth and Zoltán Szabó

Algebraic & Geometric Topology 8 (2008) 101–153
Abstract

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 2).

Keywords
knot Floer homology, surgery theory
Mathematical Subject Classification 2000
Primary: 57M27
Secondary: 57M25
References
Publication
Received: 29 April 2005
Revised: 27 December 2006
Accepted: 7 November 2007
Published: 8 February 2008
Authors
Peter S Ozsváth
Department of Mathematics
Columbia University
New York 1002
USA
Zoltán Szabó
Department of Mathematics
Princeton University
New Jersey 08544
USA