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Using the mapping cone of a rational surgery, we give several obstructions for Seifert‐fibered surgeries, including obstructions on the Alexander polynomial, the knot Floer homology, the surgery coefficient and the Seifert and four‐ball genus of the knot. These generalize the corresponding results in Kronheimer, Mrowka, Ozsváth and Szabó [‘Monopoles and lens space surgeries’,  Ann. Math.  (2) 165 (2007) 457–546] and Ozsváth and Szabó [ On Heegaard Floer homology and Seifert fibered surgeries , Geometry and Topology Monographs 7 (Geometry and Topology Publications, Coventry, 2004)].

On mapping cones of Seifert fibered surgeries