THE SLICE-RIBBON CONJECTURE FOR 3-STRANDED PRETZEL KNOTS

被引：34
|
作者：
Greene, Joshua [1 ]
Jabuka, Stanislav [2 ]
机构：
[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
[2] Univ Nevada, Dept Math & Stat, Reno, NV 89557 USA
来源：
AMERICAN JOURNAL OF MATHEMATICS | 2011年 / 133卷 / 03期
关键词：
FLOER HOMOLOGY; HOLOMORPHIC DISKS; LENS SPACES; INVARIANTS; GENUS;
D O I：
10.1353/ajm.2011.0022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：555 / 580
页数：26
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