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.
Citation
Jesse Johnson. "Locally unknotted spines of Heegaard splittings." Algebr. Geom. Topol. 5 (4) 1573 - 1584, 2005. https://doi.org/10.2140/agt.2005.5.1573
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