Face pairing maps of ford domains for cusped hyperbolic 3-manifolds

Sungbok Hong, Jungsoo Kim

Research output: Contribution to journalArticle

Abstract

We will describe a way to construct Ford domains of cusped hyperbolic 3-manifolds on maximal cusp diagrams and compute fundamental groups using face pairing maps as generators and Cannon-Floyd-Parry's edge cycles as relations. We also describe explicitly a cutting and pasting alteration to reduce the number of faces on the bottom region of Ford domains. We expect that our analysis of Ford domains will be useful on other future research.

Original languageEnglish
Pages (from-to)1007-1025
Number of pages19
JournalJournal of the Korean Mathematical Society
Volume45
Issue number4
DOIs
Publication statusPublished - 2008 Jul

Keywords

  • Cusp hyperbolic 3-manifold
  • Face pairing map
  • Ford domain

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Face pairing maps of ford domains for cusped hyperbolic 3-manifolds'. Together they form a unique fingerprint.

  • Cite this