@article{072214e575914e14a1f482444a8b92c7,
title = "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.",
keywords = "bridge decomposition, curve complex, Goeritz group",
author = "Daiki Iguchi and Yuya Koda",
note = "Funding Information: The authors would like to thank Kazuhiro Ichihara and Yeonhee Jang for their helpful comments on the remark following Theorem 1.3. The authors would like to thank the anonymous referee for carefully reading the manuscript. Iguchi is supported by JSPS KAKENHI Grant Number JP21J10249. Koda is supported by JSPS KAKENHI Grant Numbers JP20K03588, JP20K03614 and JP21H00978. Publisher Copyright: {\textcopyright} 2021 Mathematical Sciences Publishers. All Rights Reserved.",
year = "2021",
doi = "10.2140/pjm.2021.315.347",
language = "English",
volume = "315",
pages = "347--368",
journal = "Pacific Journal of Mathematics",
issn = "0030-8730",
publisher = "University of California, Berkeley",
number = "2",
}