Roots of knotted graphs and orbifolds
Geometric Topology
2007-05-23 v1
Abstract
Let G be a graph in a 3-manifold M. We compress the pair (M,G) along admissible 2-spheres as long as possible. What we get is a root of (M,G). Our main result is that for any pair (M,G) the root exists and is unique. As a corollary we get an easy proof of Petronio's theorem on prime decompositions of 3-orbifolds.
Cite
@article{arxiv.math/0504415,
title = {Roots of knotted graphs and orbifolds},
author = {Sergei Matveev},
journal= {arXiv preprint arXiv:math/0504415},
year = {2007}
}
Comments
15 pages, 3 figures