Seifert surgery on knots via Reidemeister torsion and Casson-Walker-Lescop invariant

被引：3

作者：

Kadokami, Teruhisa ^{[1
]}

Maruyama, Noriko ^{[2
]}

Sakai, Tsuyoshi ^{[3
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

[2] Musashino Art Univ, Kodaira, Tokyo 1878505, Japan

[3] Nihon Univ, Dept Math, Setagaya Ku, Tokyo 1568550, Japan

来源：

TOPOLOGY AND ITS APPLICATIONS | 2015年 / 188卷

关键词：

Reidemeister torsion; Casson-Walker-Lescop invariant; Seifert fibered space; LENS SURGERIES; SEIBERG-WITTEN; HOMOLOGY;

D O I：

10.1016/j.topol.2015.03.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a knot K with Delta(K)(t) (sic) t(2) - 3t + 1 in a homology 3-sphere, let M be the result of 2/q-surgery on K. We show that appropriate assumptions on the Reidemeister torsion and the Casson-Walker-Lescop invariant of the universal abelian covering of M imply q = +/- 1, if M is a Seifert fibered space. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：64 / 73

页数：10

共 25 条

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[12] Seiberg-Witten and Casson-Walker invariants for rational homology 3-spheres [J].