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

[41] GENERALIZED TORSION ELEMENTS IN THE KNOT GROUPS OF TWIST KNOTS
Teragaito, Masakazu
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (06) : 2677 - 2682
[42] ANALYTIC TORSION AND REIDEMEISTER TORSION
CHEEGER, J
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1977, 74 (07) : 2651 - 2654
[43] ESSENTIAL LAMINATIONS AND DEHN SURGERY ON 2-BRIDGE KNOTS
DELMAN, C
TOPOLOGY AND ITS APPLICATIONS, 1995, 63 (03) : 201 - 221
[44] Small Seifert-fibered Dehn surgery on hyperbolic knots
Dean, John C.
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2003, 3 (01): : 435 - 472
[45] Dehn surgery and (1,1)-knots in lens spaces
Saito, Toshio
TOPOLOGY AND ITS APPLICATIONS, 2007, 154 (07) : 1502 - 1515
[46] Contact Dehn surgery, symplectic fillings, and Property P for knots
Geiges, Hansjoerg
EXPOSITIONES MATHEMATICAE, 2006, 24 (03) : 273 - 280
[47] Dehn surgery on crosscap number two knots and projective planes
Teragaito, M
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2002, 11 (06) : 869 - 886
[48] Homology of manifolds obtained by Dehn surgery on knots in lens spaces
Christensen, A
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2000, 9 (04) : 431 - 442
[49] Dehn surgery on knots in solid tori creating essential annuli
Hayashi, C
Motegi, K
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 349 (12) : 4897 - 4930
[50] ON A TWISTED REIDEMEISTER TORSION
Garcia Lopez, Ricardo
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (03) : 1351 - 1361

← 1 2 3 4 5 →