The Dehn surgery characterization of the trefoil and the figure eight knot

Mathematics – Geometric Topology

Scientific paper

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12 pages, 1 figure

Scientific paper

We give a Dehn surgery characterization of the trefoil and the figure eight
knots. These results are gotten by combining surgery formulas in Heegaard Floer
homology from an earlier paper with the characterization of these knots in
terms of their knot Floer homology given in a recent paper of Ghiggini.

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