Reidemeister Torsion and Dehn Surgery on Twist Knots

被引：8

作者：

Tran, Anh T. ^{[1
,2
]}

机构：

[1] Univ Texas Dallas, Richardson, TX 75083 USA

[2] Univ Texas Dallas, Dept Math Sci, Richardson, TX 75080 USA

来源：

TOKYO JOURNAL OF MATHEMATICS | 2016年 / 39卷 / 02期

关键词：

Dehn surgery; nonabelian representation; Reidemeister torsion; twist knot; NONABELIAN REPRESENTATIONS;

D O I：

10.3836/tjm/1484903134

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the Reidemeister torsion of the complement of a twist knot in S-3 and that of the 3-manifold obtained by a 1/q-Dehn surgery on a twist knot.

引用

页码：517 / 526

页数：10

共 50 条

[1] NON-ABELIAN REIDEMEISTER TORSION FOR TWIST KNOTS
Dubois, Jerome
Vu Huynh
Yamaguchi, Yoshikazu
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2009, 18 (03) : 303 - 341
[2] Reidemeister torsion for linear representations and Seifert surgery on knots
Kitayama, Takahiro
TOPOLOGY AND ITS APPLICATIONS, 2009, 156 (15) : 2496 - 2503
[3] The Asymptotics of the Higher Dimensional Reidemeister Torsion for Exceptional Surgeries Along Twist Knots
Tran, Anh T.
Yamaguchi, Yoshikazu
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2018, 61 (01): : 211 - 224
[4] Left-orderability and Exceptional Dehn Surgery on Twist Knots
Teragaito, Masakazu
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2013, 56 (04): : 850 - 859
[5] The adjoint Reidemeister torsion for the connected sum of knots
Porti, Joan
Yoon, Seokbeom
QUANTUM TOPOLOGY, 2023, 14 (03) : 407 - 428
[6] DEHN SURGERY ON SINGULAR KNOTS
Ghuman, Simrat M.
Granda, Larry M.
Tsau, Chichen M.
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2009, 18 (04) : 547 - 560
[7] Seifert surgery on knots via Reidemeister torsion and Casson-Walker-Lescop invariant
Kadokami, Teruhisa
Maruyama, Noriko
Sakai, Tsuyoshi
TOPOLOGY AND ITS APPLICATIONS, 2015, 188 : 64 - 73
[8] REIDEMEISTER TORSION OF A 3-MANIFOLD OBTAINED BY AN INTEGRAL DEHN-SURGERY ALONG THE FIGURE-EIGHT KNOT
Kitano, Teruaki
KODAI MATHEMATICAL JOURNAL, 2016, 39 (02) : 290 - 296
[9] Reidemeister torsion, twisted Alexander polynomial and fibered knots
Goda, H
Kitano, T
Morifuji, T
COMMENTARII MATHEMATICI HELVETICI, 2005, 80 (01) : 51 - 61
[10] Non Abelian twisted Reidemeister torsion for fibered knots
Dubois, R
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2006, 49 (01): : 55 - 71

← 1 2 3 4 5 →