Distance and the Goeritz groups of bridge decompositions

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.

arXiv comment23 pages, 17 figures; minor changes

References in corpus (3)

• Alternate Heegaard genus bounds distance
• Bounding the stable genera of Heegaard splittings from below
• On the arc and curve complex of a surface