The Slice-ribbon Conjecture for 3-stranded Pretzel Knots
نویسنده
چکیده
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.
منابع مشابه
The Slice-ribbon Conjecture for 3-stranded Pretzel Knots
We determine which among the 3-stranded pretzel knots P (p, q, r) with p, q, r odd are smoothly slice. We show that each of these is in fact ribbon thus proving the slice-ribbon conjecture for this family of knots.
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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 sliceribbon 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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