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arXiv · 0910.3921

Multiple genus 2 Heegaard splittings: a missed case

John Berge·Martin Scharlemann
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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.

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John Berge, Martin Scharlemann. 2010-03-01. Multiple genus 2 Heegaard splittings: a missed case. https://doi.org/10.2140/agt.2011.11.1781

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