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Locally unknotted spines of Heegaard splittings
Published Web Location
https://arxiv.org/pdf/math/0411065.pdfNo data is associated with this publication.
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.