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arXiv 1908.11563math.GT
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Twisted book decompositions and the Goeritz groups

Daiki Iguchi, Yuya Koda

英文摘要:

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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