Twisted book decompositions and the Goeritz groups

Daiki Iguchi; Yuya Koda

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Twisted book decompositions and the Goeritz groups

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arxiv 1908.11563 v3 pith:6YJ34T3K submitted 2019-08-30 math.GT

Daiki Iguchi , Yuya Koda This is my paper · ORCID

classification math.GT

keywords groupsbookdecompositionsclassgoeritzheegaardinducedmapping

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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.

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