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math.GT2020
Goeritz groups of bridge decompositions
Susumu Hirose, Daiki Iguchi, Eiko Kin +1
For a bridge decomposition of a link in the -sphere, we define the Goeritz group to be the group of isotopy classes of orientation-preserving homeomorphisms of the -sphere th…
math.GT2019
Twisted book decompositions and the Goeritz groups
Daiki Iguchi, Yuya Koda
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 infin…