The slice-ribbon conjecture for 3-stranded pretzel knots

Details The slice-ribbon conjecture for 3-stranded pretzel knots The slice-ribbon conjecture for 3-stranded pretzel knots

2007-06-24

arxiv.org/abs/0706.3398v2

Mathematics

Geometric Topology

21 pages, 5 figures. Significantly expanded version, mistake in previous proof corrected

Scientific paper

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.

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