DEHN SURGERY ON SINGULAR KNOTS

被引：1
|
作者：
Ghuman, Simrat M. [1 ]
Granda, Larry M. [2 ]
Tsau, Chichen M. [3 ]
机构：
[1] Bellevue Coll, Dept Math, Bellevue, WA 98007 USA
[2] Webster Univ, Dept Math & Comp Sci, St Louis, MO 63119 USA
[3] St Louis Univ, Dept Math & Comp Sci, St Louis, MO 63103 USA
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2009年 / 18卷 / 04期
关键词：
Singular knots; tangled and untangled knots; Dehn surgery; incompressible surface; intersection number; side-preserving homeomorphism; reducible homeomorphism; Haken manifold; Property P; REPRESENTING HOMOLOGY CLASSES;
D O I：
10.1142/S0218216509007051
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we extend the idea of Dehn surgery to a singular knot with one singularity, and give conditions under which the surgery manifold of an untangled singular knot is a Haken manifold containing an incompressible torus. We then show that untangled singular knots have Property P.
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页码：547 / 560
页数：14
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