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arxiv: 1002.3095 · v1 · pith:IGRAWV5Enew · submitted 2010-02-16 · 🧮 math.GT

Heegaard splittings with large subsurface distances

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keywords heegaarddistancesurfaceappearboundeddistancesgenushalf
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We show that sub-surfaces of a Heegaard surface for which the relative Hempel distance of the splitting is sufficiently high have to appear in any Heegaard surface of genus bounded by half that distance.

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