How a strongly irreducible Heegaard splitting intersects a handlebody

Details How a strongly irreducible Heegaard splitting intersects a handlebody How a strongly irreducible Heegaard splitting intersects a handlebody

1999-02-01

arxiv.org/abs/math/9902010v1

Mathematics

Geometric Topology

13 pages, 5 figures

Scientific paper

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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