Heegaard splittings of the form H + nK

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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.
30 pages, 22 figures

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Geometric Topology, 57M99

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http://salesiana.dossiersoluciones.com/handle/123456789/72071

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408002
 http://arxiv.org/abs/math/0408002

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arXiv