Locally unknotted spines of Heegaard splittings
Geometric Topology
2014-10-01 v3
Abstract
We show that under reasonable conditions, the spines of the handlebodies of a strongly irreducible Heegaard splitting will intersect a closed ball in a graph which is isotopic into the boundary of the ball. This is in some sense a generalization of the results by Scharlemann on how a strongly irreducible Heegaard splitting surface can intersect a ball.
Cite
@article{arxiv.math/0411065,
title = {Locally unknotted spines of Heegaard splittings},
author = {Jesse Johnson},
journal= {arXiv preprint arXiv:math/0411065},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-63.abs.html