How a strongly irreducible Heegaard splitting intersects a handlebody

Matt Jones; Martin Scharlemann

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How a strongly irreducible Heegaard splitting intersects a handlebody

Matt Jones·Martin Scharlemann

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Abstract

It has been shown elsewhere that a strongly irreducible Heegaard splitting surface Q of a compact orientable 3-manifold M can, under reasonable side conditions, intersect a ball or a solid torus in M in only a few possible ways. Here we extend those results to describe how Q can intersect a handlebody in M.

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Matt Jones, Martin Scharlemann. 1999-02-01. How a strongly irreducible Heegaard splitting intersects a handlebody. https://arxiv.org/abs/math/9902010

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