Thinning genus two Heegaard spines in the 3-sphere
Geometric Topology
2007-05-23 v1
Abstract
We study trivalent graphs in whose closed complement is a genus two handlebody. We show that such a graph, when put in thin position, has a simple (i. e. non-loop) level edge.
Cite
@article{arxiv.math/0111099,
title = {Thinning genus two Heegaard spines in the 3-sphere},
author = {Martin Scharlemann and Abigail Thompson},
journal= {arXiv preprint arXiv:math/0111099},
year = {2007}
}
Comments
26 pages, 15 figures