Hyperbolic 3-manifolds and cluster algebras

Kentaro Nagao; Yuji Terashima; Masahito Yamazaki

doi:10.1017/nmj.2017.39

Hyperbolic 3-manifolds and cluster algebras

Kentaro Nagao, Yuji Terashima, Masahito Yamazaki

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We advocate the use of cluster algebras and their y-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 y-variables naturally give the solutions of the edgegluing conditions of ideal tetrahedra. We also comment on the completeness of hyperbolic structures.

Original language	English
Pages (from-to)	1-25
Number of pages	25
Journal	Nagoya Mathematical Journal
Volume	235
DOIs	https://doi.org/10.1017/nmj.2017.39
Publication status	Published - 2019 Sep 1
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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