English

Multiple genus 2 Heegaard splittings: a missed case

Geometric Topology 2014-10-01 v2

Abstract

A gap in a paper of Rubinstein-Scharlemann is explored: new examples are found of closed orientable 3-manifolds with possibly multiple genus 2 Heegaard splittings. Properties common to all the examples in the original paper are not universally shared by the new examples: some of the new examples have Hempel distance 3, and it is not clear that a single stabilization always makes the multiple splittings isotopic.

Keywords

Cite

@article{arxiv.0910.3921,
  title  = {Multiple genus 2 Heegaard splittings: a missed case},
  author = {John Berge and Martin Scharlemann},
  journal= {arXiv preprint arXiv:0910.3921},
  year   = {2014}
}

Comments

Reference to arxiv:1002.4887 added

R2 v1 2026-06-21T14:01:05.357Z