Higher dimensional knots in tubes
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- by Yaichi Shinohara PDF
- Trans. Amer. Math. Soc. 161 (1971), 35-49 Request permission
Abstract:
Let K be an n-knot in the $(n + 2)$-sphere and V a tubular neighborhood of K. Let $L’$ be an n-knot contained in a tubular neighborhood $V’$ of a trivial n-knot and L the image of $L’$ under an orientation preserving diffeomorphism of $V’$ 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 $L’$.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 161 (1971), 35-49
- MSC: Primary 57.20; Secondary 55.00
- DOI: https://doi.org/10.1090/S0002-9947-1971-0287559-9
- MathSciNet review: 0287559