Heegaard splittings of distance exactly $n$

Abstract

In this paper, we show that, for any integers $n\ge 2$ and $g\ge 2$, there exist genus-$g$ Heegaard splittings of compact 3-manifolds with distance exactly $n$.

13 pages, 2 figures

References in corpus (4)

• Geometry of the Complex of Curves I: Hyperbolicity
• Distances of Heegaard splittings
• Multiple genus 2 Heegaard splittings: a missed case
• Degenerating slopes with respect to Heegaard distance

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• Generalized Heegaard splittings and the disk complex
• Heegaard distance of the link complements in $S^3$