Heegaard splittings of the form H + nK

Details Heegaard splittings of the form H + nK Heegaard splittings of the form H + nK

2004-07-30

arxiv.org/abs/math/0408002v1

Mathematics

Geometric Topology

30 pages, 22 figures

Scientific paper

Suppose that a three-manifold M contains infinitely many distinct strongly
irreducible Heegaard splittings H + nK, obtained by Haken summing the surface H
with n copies of the surface K. We show that K is incompressible. All known
examples, of manifolds containing infinitely many irreducible Heegaard
splittings, are of this form. We also give new examples of such manifolds.

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