Doubly slice odd pretzel knots
نویسندگان
چکیده
منابع مشابه
The Slice-ribbon Conjecture for 3-stranded Pretzel Knots
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.
متن کاملThe 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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Using the Hatcher–Oertel algorithm for finding boundary slopes of Montesinos knots, we prove the Slope Conjecture and the Strong Slope Conjecture for a family of 3-tangle pretzel knots. More precisely, we prove that the maximal degrees of the colored Jones polynomial of such a knot determine a boundary slope as predicted by the Slope Conjecture, and that the linear terms in the degrees correspo...
متن کاملTHE SLICE-RIBBON CONJECTURE FOR 3-STRANDED PRETZEL KNOTS By JOSHUA GREENE and STANISLAV JABUKA
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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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2020
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/15022