#### Vol. 315, No. 2, 2021

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Distance and the Goeritz groups of bridge decompositions

### Daiki Iguchi and Yuya Koda

Vol. 315 (2021), No. 2, 347–368
DOI: 10.2140/pjm.2021.315.347
##### 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.

##### Keywords
bridge decomposition, curve complex, Goeritz group
##### Mathematical Subject Classification
Primary: 57K10, 57M60