The slice-ribbon conjecture for 3-stranded pretzel knots
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
We determine the smooth concordance order of the 3-stranded pretzel knots P(p,q,r) with p,q,r odd. We show that each one of finite order is, in fact, ribbon, thereby proving the slice-ribbon conjecture for this family of knots. As corollaries we give new proofs of results first obtained by Fintushel-Stern and Casson-Gordon.
21 pages, 5 figures. Significantly expanded version, mistake in previous proof corrected
21 pages, 5 figures. Significantly expanded version, mistake in previous proof corrected