English

How a strongly irreducible Heegaard splitting intersects a handlebody

Geometric Topology 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/9902010,
  title  = {How a strongly irreducible Heegaard splitting intersects a handlebody},
  author = {Matt Jones and Martin Scharlemann},
  journal= {arXiv preprint arXiv:math/9902010},
  year   = {2007}
}

Comments

13 pages, 5 figures

R2 v1 2026-07-22T18:01:47.944Z