Spatial Graphs with Local Knots
Geometric Topology
2015-03-17 v2
Abstract
It is shown that for any locally knotted edge of a 3-connected graph in , there is a ball that contains all of the local knots of that edge and is unique up to an isotopy setwise fixing the graph. This result is applied to the study of topological symmetry groups of graphs embedded in .
Cite
@article{arxiv.1010.0479,
title = {Spatial Graphs with Local Knots},
author = {Erica Flapan and Blake Mellor and Ramin Naimi},
journal= {arXiv preprint arXiv:1010.0479},
year = {2015}
}
Comments
20 pages, 3 figures; in v. 2 the proof of Theorem 1 has been clarified, and other minor revisions have been made