The genus two Goeritz group of $S^2 \times S^1$
Geometric Topology
2014-01-21 v2
Abstract
The genus-g Goeritz group is the group of isotopy classes of orientation-preserving homeomorphisms of a closed orientable 3-manifold that preserve a given genus-g Heegaard splitting of the manifold. In this work, we show that the genus-2 Goeritz group of is finitely presented, and give its explicit presentation.
Cite
@article{arxiv.1303.7145,
title = {The genus two Goeritz group of $S^2 \times S^1$},
author = {Sangbum Cho and Yuya Koda},
journal= {arXiv preprint arXiv:1303.7145},
year = {2014}
}
Comments
minor changes; to appear in Mathematical Research Letters