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Fox-Milnor condition for concordant knots in homology 3-spheres

Authors: Huu-Bao VuongPublished: 2026-08-07Paper ID: 2608.07039Category: math.GTLicense: CC0 1.0

Abstract

This paper will show that the Alexander polynomial of a knot, which is of slice type in an oriented homology 3-sphere, obeys the Fox-Milnor polynomial condition. A relation between Alexander polynomial of concordant knots in an oriented homology 3-sphere is established.

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