Heegaard splittings of the form H + nK

Yoav Moriah; Saul Schleimer; Eric Sedgwick

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Heegaard splittings of the form H + nK

Yoav Moriah·Saul Schleimer·Eric Sedgwick

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Abstract

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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BibTeX RIS

Yoav Moriah, Saul Schleimer, Eric Sedgwick. 2004-07-30. Heegaard splittings of the form H + nK. https://arxiv.org/abs/math/0408002

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