Twisted book decompositions and the Goeritz groups

preprint2020arXivOpen access

Abstract

We consider the Goeritz groups of the Heegaard splittings induced from twisted book decompositions. We show that there exist Heegaard splittings of distance 22 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.

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