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arxiv: math/9902010 · v1 · submitted 1999-02-01 · 🧮 math.GT

How a strongly irreducible Heegaard splitting intersects a handlebody

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keywords handlebodyheegaardintersectirreduciblesplittingstronglyballbeen
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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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