Finiteness of mapping class groups

Sungbok Hong, Jin Yang

Research output: Contribution to journalArticle

Abstract

We prove that the mapping class group of a non-Haken orientable irreducible 3-manifold is finite and we show that the quotient group of the mapping class group by the rotation group is virtually torsion-free if the manifold does not have 2-sphere boundary components.

Original languageEnglish
Pages (from-to)1297-1302
Number of pages6
JournalBulletin of the Korean Mathematical Society
Volume50
Issue number4
DOIs
Publication statusPublished - 2013

Keywords

  • 3-manifold
  • Mapping class group
  • Non-haken manifold

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Finiteness of mapping class groups'. Together they form a unique fingerprint.

  • Cite this