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How a strongly irreducible Heegaard splitting intersects a handlebody

1999/02/01 by Matt Jones, Jones, Matt, Martin Scharlemann +1
Mathematics · #57N10 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57N10

paper · pdf · doi:10.48550/arxiv.math/9902010

13 pages, 5 figures

arxiv created 1999/02/01 · arxiv updated 2009/11/30

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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