The slice-ribbon conjecture for 3-stranded pretzel knots
Geometric Topology
2007-08-07 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0706.3398,
title = {The slice-ribbon conjecture for 3-stranded pretzel knots},
author = {Joshua Greene and Stanislav Jabuka},
journal= {arXiv preprint arXiv:0706.3398},
year = {2007}
}