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Distance and the Goeritz groups of bridge decompositions

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arxiv 2105.00631 v2 pith:IUPQXOIV submitted 2021-05-03 math.GT

classification math.GT
keywords bridgedistancegoeritzgroupdecompositiondecompositionsfinitegroups
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abstract

We prove that if the distance of a bridge decomposition of a link with respect to a Heegaard splitting of a $3$-manifold is at least $6$, then the Goeritz group is a finite group.

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