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On keen weakly reducbile Heegaard splittings

Geometric Topology 2017-03-07 v1

Abstract

A Heegaard splitting which admits a unique pair of disjoint compression disks on distinct sides is said to be keen weakly reducible. This paper provides an construction of keen weakly reducible Heegaard splittings of arbitrary genus except 2. Furthermore, critical Heegaard splittings may yield if we change some conditions.

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Cite

@article{arxiv.1703.01718,
  title  = {On keen weakly reducbile Heegaard splittings},
  author = {Qiang E},
  journal= {arXiv preprint arXiv:1703.01718},
  year   = {2017}
}

Comments

11 pages, 3 figures