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paper

Heegaard splittings with large subsurface distances

arXiv:1002.3095 · doi:10.2140/agt.2010.10.2251

Abstract

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.

23 pages and 5 figures