Goeritz groups of bridge decompositions
Geometric Topology
2020-04-08 v1
Abstract
For a bridge decomposition of a link in the -sphere, we define the Goeritz group to be the group of isotopy classes of orientation-preserving homeomorphisms of the -sphere that preserve each of the bridge sphere and link setwise. After describing basic properties of this group, we discuss the asymptotic behavior of the minimal pseudo-Anosov entropies. This gives an application to the asymptotic behavior of the minimal entropies for the original Goeritz groups of Heegaard splittings of the -sphere and the real projective space.
Cite
@article{arxiv.2004.03098,
title = {Goeritz groups of bridge decompositions},
author = {Susumu Hirose and Daiki Iguchi and Eiko Kin and Yuya Koda},
journal= {arXiv preprint arXiv:2004.03098},
year = {2020}
}
Comments
42 pages, 21 figures