Affiliation:
1. Mathematics Department, University of Durham, South Road, Durham DH1 3LE, England
Abstract
S-equivalence of classical knots is investigated, as well as its relationship with mutation and the unknotting number. Furthermore, we identify the kernel of Bredon's double suspension map, and give a geometric relation between slice and algebraically slice knots. Finally, we show that every knot is S-equivalent to a prime knot.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
3 articles.
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1. Concordance of Seifert surfaces;Pacific Journal of Mathematics;2019-03-08
2. The unknotting number and classical invariants, I;Algebraic & Geometric Topology;2015-03-23
3. REALIZATIONS OF SEIFERT MATRICES BY HYPERBOLIC KNOTS;Journal of Knot Theory and Its Ramifications;2009-11