A closed orientable 3-manifold with distinct distance three genus two Heegaard splittings

Details A closed orientable 3-manifold with distinct distance three genus two Heegaard splittings A closed orientable 3-manifold with distinct distance three genus two Heegaard splittings

2009-12-07

arxiv.org/abs/0912.1315v1

Mathematics

Geometric Topology

19 pages, 9 figures

Scientific paper

We describe an example of a closed orientable 3-manifold with distinct distance three genus two Heegaard splittings. This demonstrates that the constructions of alternate genus two Heegaard splittings of closed orientable 3-manifolds described by Rubinstein and Scharlemann in their 1998 paper Genus Two Heegaard Splittings of Orientable 3-Manifolds, does not yield all alternate genus two splittings and must be augmented.

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