Abstract
Let K be an n-knot in the ( n + 2 ) (n + 2) -sphere and V a tubular neighborhood of K. Let L ′ L’ be an n-knot contained in a tubular neighborhood V ′ V’ of a trivial n-knot and L the image of L ′ L’ under an orientation preserving diffeomorphism of V ′ V’ onto V. The purpose of this paper is to show that the higher dimensional Alexander polynomial and the signature of the n-knot L are determined by those of K and L ′ L’ .
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