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arxiv: 1210.7627 · v4 · pith:CV5BIGNCnew · submitted 2012-10-29 · 🧮 math.GT

Heegaard splittings of distance exactly n

classification 🧮 math.GT
keywords distanceexactlyheegaardsplittingscompactexistgenus-integers
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In this paper, we show that, for any integers $n\geq 2$ and $g\geq 2$, there exist genus-$g$ Heegaard splittings of compact 3-manifolds with distance exactly $n$.

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