Hyperbolic 3-manifolds and cluster algebras

Kentaro Nagao, Yuji Terashima, Masahito Yamazaki

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)1-25
Number of pages25
JournalNagoya Mathematical Journal
Volume235
DOIs
Publication statusPublished - 2019 Sep 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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