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math.GT2020
Thick isotopy property and the mapping class groups of Heegaard splittings
Daiki Iguchi
We give a necessary and sufficient condition for the fundamental group of the space of Heegaard splittings of an irreducible -manifold to be finitely generated. The condition is…
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…