HYPERBOLIC 3-MANIFOLDS AND CLUSTER ALGEBRAS

被引：3

作者：

Nagao, Kentaro ^{[1
]}

Terashima, Yuji ^{[2
]}

Yamazaki, Masahito ^{[3
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Nagoya, Aichi, Japan

[2] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo, Japan

[3] Univ Tokyo, Kavli Inst Phys & Math Universe, Tokyo, Japan

来源：

NAGOYA MATHEMATICAL JOURNAL | 2019年 / 235卷

关键词：

DILOGARITHM IDENTITIES; QUANTUM DILOGARITHM; MODULI SPACES; TRIANGULATIONS; QUIVERS; SYSTEMS;

D O I：

10.1017/nmj.2017.39

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We advocate the use of cluster algebras and their-variables in the study of hyperbolic 3-manifolds. We study hyperbolic structures on the mapping tori of pseudo-Anosov mapping classes of punctured surfaces, and show that cluster-variables naturally give the solutions of the edge-gluing conditions of ideal tetrahedra. We also comment on the completeness of hyperbolic structures.

引用

页码：1 / 25

页数：25

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