THE COMPLEX VOLUMES OF TWIST KNOTS

被引：13

作者：

Cho, Jinseok ^{[1
]}

Murakami, Jun ^{[2
]}

Yokota, Yoshiyuki ^{[3
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul 151742, South Korea

[2] Waseda Univ, Fac Sci & Engn, Dept Math, Shinjuku Ku, Tokyo 1698555, Japan

[3] Tokyo Metropolitan Univ, Dept Math, Tokyo 1920397, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 10期

关键词：

Twist knot; volume conjecture; complex volume;

D O I：

10.1090/S0002-9939-09-09906-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a given hyperbolic knot, the third author defined a function whose imaginary part gives the hyperbolic volume of the knot complement. We show that, for a twist knot, the function actually gives the complex volume of the knot complement using Zickert's and Neumann's theory of the extended Bloch groups and the complex volumes.

引用

页码：3533 / 3541

页数：9