@article{f578b9f4d27d4f06b0eebfdef58b168f,
title = "Twisted book decompositions and the Goeritz groups",
abstract = "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.",
keywords = "3-Manifold, Distance, Heegaard splitting, Mapping class group",
author = "Daiki Iguchi and Yuya Koda",
note = "Funding Information: The authors would like to thank the anonymous referee for his or her valuable comments and suggestions that helped them to improve the exposition. The second author is supported by JSPS KAKENHI Grant Numbers JP15H03620 , JP17K05254 , JP17H06463 , and JST CREST Grant Number JPMJCR17J4 . Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.",
year = "2020",
month = mar,
day = "1",
doi = "10.1016/j.topol.2020.107064",
language = "English",
volume = "272",
journal = "Topology and its Applications",
issn = "0166-8641",
publisher = "Elsevier",
}