CLUSTER ALGEBRA AND COMPLEX VOLUME OF ONCE-PUNCTURED TORUS BUNDLES AND 2-BRIDGE LINKS

被引：6

作者：

Hikami, Kazuhiro ^{[1
]}

Inoue, Rei ^{[2
]}

机构：

[1] Kyushu Univ, Fac Math, Fukuoka 8190395, Japan

[2] Chiba Univ, Fac Sci, Dept Math & Informat, Chiba 2638522, Japan

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2014年 / 23卷 / 01期

关键词：

Cluster algebra; complex volume; knot complement; hyperbolic geometry; POLYNOMIALS;

D O I：

10.1142/S0218216514500060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a method to compute complex volume of 2-bridge link complements. Our construction sheds light on a relationship between cluster variables with coefficients and canonical decompositions of link complements.

引用

页数：33

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