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.
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页码：3533 / 3541
页数：9
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