Twisted book decompositions and the Goeritz groups

Daiki Iguchi, Yuya Koda

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We consider the Goeritz groups of the Heegaard splittings induced from twisted book decompositions. We show that there exist Heegaard splittings of distance 2 that have the infinite-order mapping class groups whereas that are not induced from open book decompositions. Explicit computation of those mapping class groups are given.

Original languageEnglish
Article number107064
JournalTopology and its Applications
Publication statusPublished - 2020 Mar 1
Externally publishedYes


  • 3-Manifold
  • Distance
  • Heegaard splitting
  • Mapping class group

ASJC Scopus subject areas

  • Geometry and Topology


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