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Locally unknotted spines of Heegaard splittings

Jesse Johnson
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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.

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BibTeXRIS

Jesse Johnson. 2005-11-28. Locally unknotted spines of Heegaard splittings. https://doi.org/10.2140/agt.2005.5.1573

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