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
收藏
页码：1 / 25
页数：25
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