Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Higher dimensional knots in tubes

Author: Yaichi Shinohara
Journal: Trans. Amer. Math. Soc. 161 (1971), 35-49
MSC: Primary 57.20; Secondary 55.00
MathSciNet review: 0287559
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 57.20, 55.00

Retrieve articles in all journals with MSC: 57.20, 55.00

Additional Information

Keywords: qth dimensional Alexander polynomial, signature of n-knots
Article copyright: © Copyright 1971 American Mathematical Society

American Mathematical Society