Exceptional surgeries on (-2, p, p)-pretzel knots

被引：4

作者：

Ichihara, Kazuhiro ^{[1
]}

Jong, In Dae ^{[2
]}

Kabaya, Yuichi ^{[3
]}

机构：

[1] Nihon Univ, Dept Math, Coll Humanities & Sci, Setagaya Ku, Tokyo 1568550, Japan

[2] Osaka Prefecture Univ, Fac Liberal Arts & Sci, Naka Ku, Sakai, Osaka 5998531, Japan

[3] Osaka Univ, Dept Math, Toyonaka, Osaka 5600043, Japan

来源：

TOPOLOGY AND ITS APPLICATIONS | 2012年 / 159卷 / 04期

基金：

日本学术振兴会;

关键词：

Pretzel knot; Exceptional surgery; Toroidal surgery; Seifert fibered surgery; !text type='JS']JS[!/text]J-decomposition; Rasmussen invariant; Magic manifold; FINITE SURGERIES; DEHN SURGERY; SEIFERT;

D O I：

10.1016/j.topol.2011.11.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a complete description of exceptional surgeries on pretzel knots of type (-2, p, p) with p >= 5. It is known that such a knot admits a unique toroidal surgery yielding a toroidal manifold with a unique incompressible torus. By cutting along the torus, we obtain two connected components, one of which is a twisted I-bundle over the Klein bottle. We show that the other is homeomorphic to the one obtained by certain Dehn filling on the magic manifold. On the other hand, we show that all such pretzel knots admit no Seifert fibered surgeries. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1064 / 1073

页数：10

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