Multiple genus 2 Heegaard splittings: a missed case

Details Multiple genus 2 Heegaard splittings: a missed case Multiple genus 2 Heegaard splittings: a missed case

2009-10-20

arxiv.org/abs/0910.3921v2

Mathematics

Geometric Topology

Reference to arxiv:1002.4887 added

Scientific paper

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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