<p><i>We show that the Alexander polynomial of a slice knot in an oriented homology 3-sphere satisfies the Fox–Milnor polynomial condition and establish a relation between the Alexander polynomials of concordant knots. Bibliography:</i> 11 <i>titles</i>.</p>

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FOX-MILNOR CONDITION FOR CONCORDANT KNOTS IN HOMOLOGY 3-SPHERES

  • H.-B. Vuong

摘要

We show that the Alexander polynomial of a slice knot in an oriented homology 3-sphere satisfies the Fox–Milnor polynomial condition and establish a relation between the Alexander polynomials of concordant knots. Bibliography: 11 titles.