Twisted book decompositions and the Goeritz groups
arXiv:1908.11563
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.
18 pages, 4 figures. To appear in Topology Appl