The genus two goeritz group of S2 × S1

Sangbum Cho, Yuya Koda

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

The genus-g Goeritz group is the group of isotopy classes of orientationpreserving homeomorphisms of a closed orientable 3-manifold that preserve a given genus-g Heegaard splitting of the manifold. In this work, we show that the genus-2 Goeritz group of S2 × S1 is finitely presented, and give its explicit presentation.

Original languageEnglish
Pages (from-to)449-460
Number of pages12
JournalMathematical Research Letters
Volume21
Issue number3
DOIs
Publication statusPublished - 2014 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)

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