Topological symmetry groups and mapping class groups for spatial graphs
Geometric Topology
2012-06-22 v2
Abstract
We give a necessary and sufficient condition for the mapping class group of the pair of the 3-sphere and a graph embedded in it to be isomorphic to the topological symmetry group of the embedded graph.
Cite
@article{arxiv.1111.2668,
title = {Topological symmetry groups and mapping class groups for spatial graphs},
author = {Sangbum Cho and Yuya Koda},
journal= {arXiv preprint arXiv:1111.2668},
year = {2012}
}
Comments
11 pages, 3 figures; minor changes, typos corrected; to appear in Michigan Mathematical Journal