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
Milestones
Received: 6 May 2021
Revised: 5 September 2021
Accepted: 11 October 2021
Published: 19 January 2022
Authors
Daiki Iguchi
Department of Mathematics
Hiroshima University
Higashi-Hiroshima 739-8526
Japan
Yuya Koda
Department of Mathematics
Hiroshima University
Higashi-Hiroshima 739-8526
Japan