Twisted book decompositions and the Goeritz groups
Geometric Topology
2020-01-22 v3
Abstract
We consider the Goeritz groups of the Heegaard splittings induced from twisted book decompositions. We show that there exist Heegaard splittings of distance 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
Cite
@article{arxiv.1908.11563,
title = {Twisted book decompositions and the Goeritz groups},
author = {Daiki Iguchi and Yuya Koda},
journal= {arXiv preprint arXiv:1908.11563},
year = {2020}
}
Comments
18 pages, 4 figures. To appear in Topology Appl