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Heegaard splittings with large subsurface distances

Geometric Topology 2014-10-01 v1

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.

Keywords

Cite

@article{arxiv.1002.3095,
  title  = {Heegaard splittings with large subsurface distances},
  author = {Jesse Johnson and Yair Minsky and Yoav Moriah},
  journal= {arXiv preprint arXiv:1002.3095},
  year   = {2014}
}

Comments

23 pages and 5 figures

R2 v1 2026-06-21T14:47:32.677Z