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.

引用

页码：547 / 560

页数：14

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