# Locally unknotted spines of Heegaard splittings

@article{Johnson2004LocallyUS,
title={Locally unknotted spines of Heegaard splittings},
author={Jesse Johnson},
journal={Algebraic \& Geometric Topology},
year={2004},
volume={5},
pages={1573-1584}
}
• Jesse Johnson
• Published 2004
• Mathematics
• Algebraic & Geometric Topology
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. AMS Classification 57M27; 57Q10
3 Citations

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CA 95616, USA Email: jjohnson@math.ucdavis.edu Received
• CA 95616, USA Email: jjohnson@math.ucdavis.edu Received
• 2005
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