Affiliation:
1. 244 Mathematics Bldg, SUNY, Buffalo, NY 14260, USA
Abstract
Satoh has defined a construction to obtain a ribbon torus knot given a welded knot. This construction is known to be surjective. We show that it is not injective. Using the invariant of the peripheral structure, it is possible to provide a restriction on this failure of injectivity. In particular we also provide an algebraic classification of the construction when restricted to classical knots, where it is equivalent to the torus spinning construction.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
11 articles.
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